Greatest Common Factor of 45/74, 49/63, 80/35, 14/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 45/74, 49/63, 80/35, 14/465

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 45/74,49/63,80/35,14/465

Given fractions are 45/74,49/63,80/35,14/465

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 45,49,80,14

Greatest Common Factor of Numerators i.e. GCF of 45,49,80,14 is 1 .

LCM of Denominators means LCM of 74,63,35,465 as per the given fractions.

LCM of 74,63,35,465 is 722610 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 45,49,80,14

GCF of Fractions 45/74,49/63,80/35,14/465 is 1/722610

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

Greatest Common Factor of 45,49,80,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,49,80,14 By Matching Biggest Common Factor Method

Factors of 45

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

1,3,5,9,15,45

Factors of 49

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

1,7,49

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 45,49,80,14 . The biggest common factor number is the GCF number.
So the greatest common factor 45,49,80,14 is 1.

Lets's calculate LCM of 74,63,35,465

3 74, 63, 35, 465
5 74, 21, 35, 155
7 74, 21, 7, 31
74, 3, 1, 31

∴ So the LCM of the given numbers is 3 x 5 x 7 x 74 x 3 x 1 x 31 = 722610

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/722610

Therefore, the GCF of Fractions 45/74,49/63,80/35,14/465 is 1/722610

Least Common Multiple of 74,63,35,465 with GCF Formula

Least Common Multiple of 74,63,35,465 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 74,63,35,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,63,35,465) = 1

common factors(in case of two or more numbers have common factors) = 105

GCF(74,63,35,465) x common factors =1 x 105 = 105

LCM(74,63,35,465) = ( 74 × 63 × 35 × 465 ) / 105

LCM(74,63,35,465) = 75874050 / 105

LCM(74,63,35,465) = 722610


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 45/74, 49/63, 80/35, 14/465

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 45/74, 49/63, 80/35, 14/465?

Answer: GCF of Numerators as per given numbers 45/74, 49/63, 80/35, 14/465 is

GCF of Numerators i.e. for 45,49,80,14 is 1

LCM of denominators i.e. for 74,63,35,465 is 722610.

Thus, GCF of Fractions is 1/722610.Finally, GCF of Fractions for 45/74, 49/63, 80/35, 14/465 is 1/722610.