Greatest Common Factor of 7657/77, 4472/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7657/77, 4472/597

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 7657/77,4472/597

Given fractions are 7657/77,4472/597

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 7657,4472

Greatest Common Factor of Numerators i.e. GCF of 7657,4472 is 13 .

LCM of Denominators means LCM of 77,597 as per the given fractions.

LCM of 77,597 is 45969 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7657,4472

GCF of Fractions 7657/77,4472/597 is 13/45969

13 7657, 4472
589, 344

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7657,4472 By Matching Biggest Common Factor Method

Greatest Common Factor of 7657,4472 By Matching Biggest Common Factor Method

Factors of 7657

List of positive integer factors of 7657 that divides 7657 without a remainder.

1,13,19,31,247,403,589,7657

Factors of 4472

List of positive integer factors of 4472 that divides 4472 without a remainder.

1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472

Greatest Common Factor

We found the factors 7657,4472 . The biggest common factor number is the GCF number.
So the greatest common factor 7657,4472 is 13.

Lets's calculate LCM of 77,597

Given numbers has no common factors except 1. So, there LCM is their product i.e 45969

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/45969

Therefore, the GCF of Fractions 7657/77,4472/597 is 13/45969

Least Common Multiple of 77,597 with GCF Formula

Least Common Multiple of 77,597 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 77,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,597) = 1

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

GCF(77,597) x common factors =1 x 1 = 1

LCM(77,597) = ( 77 × 597 ) / 1

LCM(77,597) = 45969 / 1

LCM(77,597) = 45969


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 7657/77, 4472/597

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 7657/77, 4472/597?

Answer: GCF of Numerators as per given numbers 7657/77, 4472/597 is

GCF of Numerators i.e. for 7657,4472 is 13

LCM of denominators i.e. for 77,597 is 45969.

Thus, GCF of Fractions is 13/45969.Finally, GCF of Fractions for 7657/77, 4472/597 is 13/45969.