Greatest Common Factor of 3/89, 35/19, 69/450, 868/151

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3/89, 35/19, 69/450, 868/151

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 3/89,35/19,69/450,868/151

Given fractions are 3/89,35/19,69/450,868/151

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 3,35,69,868

Greatest Common Factor of Numerators i.e. GCF of 3,35,69,868 is 1 .

LCM of Denominators means LCM of 89,19,450,151 as per the given fractions.

LCM of 89,19,450,151 is 114903450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3,35,69,868

GCF of Fractions 3/89,35/19,69/450,868/151 is 1/114903450

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

Greatest Common Factor of 3,35,69,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 3,35,69,868 By Matching Biggest Common Factor Method

Factors of 3

List of positive integer factors of 3 that divides 3 without a remainder.

1,3

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 3,35,69,868 . The biggest common factor number is the GCF number.
So the greatest common factor 3,35,69,868 is 1.

Lets's calculate LCM of 89,19,450,151

Given numbers has no common factors except 1. So, there LCM is their product i.e 114903450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/114903450

Therefore, the GCF of Fractions 3/89,35/19,69/450,868/151 is 1/114903450

Least Common Multiple of 89,19,450,151 with GCF Formula

Least Common Multiple of 89,19,450,151 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 89,19,450,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,19,450,151) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(89,19,450,151) x common factors =1 x 1 = 1

LCM(89,19,450,151) = ( 89 × 19 × 450 × 151 ) / 1

LCM(89,19,450,151) = 114903450 / 1

LCM(89,19,450,151) = 114903450


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 3/89, 35/19, 69/450, 868/151

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 3/89, 35/19, 69/450, 868/151?

Answer: GCF of Numerators as per given numbers 3/89, 35/19, 69/450, 868/151 is

GCF of Numerators i.e. for 3,35,69,868 is 1

LCM of denominators i.e. for 89,19,450,151 is 114903450.

Thus, GCF of Fractions is 1/114903450.Finally, GCF of Fractions for 3/89, 35/19, 69/450, 868/151 is 1/114903450.