Greatest Common Factor of 77/637, 742/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/637, 742/725

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 77/637,742/725

Given fractions are 77/637,742/725

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 77,742

Greatest Common Factor of Numerators i.e. GCF of 77,742 is 7 .

LCM of Denominators means LCM of 637,725 as per the given fractions.

LCM of 637,725 is 461825 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,742

GCF of Fractions 77/637,742/725 is 7/461825

7 77, 742
11, 106

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 77,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,742 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Greatest Common Factor

We found the factors 77,742 . The biggest common factor number is the GCF number.
So the greatest common factor 77,742 is 7.

Lets's calculate LCM of 637,725

Given numbers has no common factors except 1. So, there LCM is their product i.e 461825

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/461825

Therefore, the GCF of Fractions 77/637,742/725 is 7/461825

Least Common Multiple of 637,725 with GCF Formula

Least Common Multiple of 637,725 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 637,725 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,725) = 1

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

GCF(637,725) x common factors =1 x 1 = 1

LCM(637,725) = ( 637 × 725 ) / 1

LCM(637,725) = 461825 / 1

LCM(637,725) = 461825


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 77/637, 742/725

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 77/637, 742/725?

Answer: GCF of Numerators as per given numbers 77/637, 742/725 is

GCF of Numerators i.e. for 77,742 is 7

LCM of denominators i.e. for 637,725 is 461825.

Thus, GCF of Fractions is 7/461825.Finally, GCF of Fractions for 77/637, 742/725 is 7/461825.