Greatest Common Factor of 95/5, 98/8, 45/9, 87/1, 450/7, 89/9, 65/9, 412/9, 89/9, 49/5

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/5, 98/8, 45/9, 87/1, 450/7, 89/9, 65/9, 412/9, 89/9, 49/5

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 95/5,98/8,45/9,87/1,450/7,89/9,65/9,412/9,89/9,49/5

Given fractions are 95/5,98/8,45/9,87/1,450/7,89/9,65/9,412/9,89/9,49/5

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 95,98,45,87,450,89,65,412,89,49

Greatest Common Factor of Numerators i.e. GCF of 95,98,45,87,450,89,65,412,89,49 is 1 .

LCM of Denominators means LCM of 5,8,9,1,7,9,9,9,9,5 as per the given fractions.

LCM of 5,8,9,1,7,9,9,9,9,5 is 2520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,98,45,87,450,89,65,412,89,49

GCF of Fractions 95/5,98/8,45/9,87/1,450/7,89/9,65/9,412/9,89/9,49/5 is 1/2520

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 95,98,45,87,450,89,65,412,89,49 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,98,45,87,450,89,65,412,89,49 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 412

List of positive integer factors of 412 that divides 412 without a remainder.

1,2,4,103,206,412

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Greatest Common Factor

We found the factors 95,98,45,87,450,89,65,412,89,49 . The biggest common factor number is the GCF number.
So the greatest common factor 95,98,45,87,450,89,65,412,89,49 is 1.

Lets's calculate LCM of 5,8,9,1,7,9,9,9,9,5

3 5, 8, 9, 1, 7, 9, 9, 9, 9, 5
3 5, 8, 3, 1, 7, 3, 3, 3, 3, 5
5 5, 8, 1, 1, 7, 1, 1, 1, 1, 5
1, 8, 1, 1, 7, 1, 1, 1, 1, 1

∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 8 x 1 x 1 x 7 x 1 x 1 x 1 x 1 x 1 = 2520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2520

Therefore, the GCF of Fractions 95/5,98/8,45/9,87/1,450/7,89/9,65/9,412/9,89/9,49/5 is 1/2520

Least Common Multiple of 5,8,9,1,7,9,9,9,9,5 with GCF Formula

Least Common Multiple of 5,8,9,1,7,9,9,9,9,5 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 5,8,9,1,7,9,9,9,9,5 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5,8,9,1,7,9,9,9,9,5) = 1

common factors(in case of two or more numbers have common factors) = 32805

GCF(5,8,9,1,7,9,9,9,9,5) x common factors =1 x 32805 = 32805

LCM(5,8,9,1,7,9,9,9,9,5) = ( 5 × 8 × 9 × 1 × 7 × 9 × 9 × 9 × 9 × 5 ) / 32805

LCM(5,8,9,1,7,9,9,9,9,5) = 82668600 / 32805

LCM(5,8,9,1,7,9,9,9,9,5) = 2520


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 95/5, 98/8, 45/9, 87/1, 450/7, 89/9, 65/9, 412/9, 89/9, 49/5

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 95/5, 98/8, 45/9, 87/1, 450/7, 89/9, 65/9, 412/9, 89/9, 49/5?

Answer: GCF of Numerators as per given numbers 95/5, 98/8, 45/9, 87/1, 450/7, 89/9, 65/9, 412/9, 89/9, 49/5 is

GCF of Numerators i.e. for 95,98,45,87,450,89,65,412,89,49 is 1

LCM of denominators i.e. for 5,8,9,1,7,9,9,9,9,5 is 2520.

Thus, GCF of Fractions is 1/2520.Finally, GCF of Fractions for 95/5, 98/8, 45/9, 87/1, 450/7, 89/9, 65/9, 412/9, 89/9, 49/5 is 1/2520.