Greatest Common Factor of 7/64, 36/29, 87/103, 726/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/64, 36/29, 87/103, 726/110

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 7/64,36/29,87/103,726/110

Given fractions are 7/64,36/29,87/103,726/110

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 7,36,87,726

Greatest Common Factor of Numerators i.e. GCF of 7,36,87,726 is 1 .

LCM of Denominators means LCM of 64,29,103,110 as per the given fractions.

LCM of 64,29,103,110 is 10514240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,36,87,726

GCF of Fractions 7/64,36/29,87/103,726/110 is 1/10514240

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

Greatest Common Factor of 7,36,87,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,36,87,726 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 87

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

1,3,29,87

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 7,36,87,726 . The biggest common factor number is the GCF number.
So the greatest common factor 7,36,87,726 is 1.

Lets's calculate LCM of 64,29,103,110

2 64, 29, 103, 110
32, 29, 103, 55

∴ So the LCM of the given numbers is 2 x 32 x 29 x 103 x 55 = 10514240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10514240

Therefore, the GCF of Fractions 7/64,36/29,87/103,726/110 is 1/10514240

Least Common Multiple of 64,29,103,110 with GCF Formula

Least Common Multiple of 64,29,103,110 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 64,29,103,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,29,103,110) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(64,29,103,110) x common factors =1 x 2 = 2

LCM(64,29,103,110) = ( 64 × 29 × 103 × 110 ) / 2

LCM(64,29,103,110) = 21028480 / 2

LCM(64,29,103,110) = 10514240


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 7/64, 36/29, 87/103, 726/110

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 7/64, 36/29, 87/103, 726/110?

Answer: GCF of Numerators as per given numbers 7/64, 36/29, 87/103, 726/110 is

GCF of Numerators i.e. for 7,36,87,726 is 1

LCM of denominators i.e. for 64,29,103,110 is 10514240.

Thus, GCF of Fractions is 1/10514240.Finally, GCF of Fractions for 7/64, 36/29, 87/103, 726/110 is 1/10514240.