Greatest Common Factor of 7697/676, 5199/8472

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7697/676, 5199/8472

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 7697/676,5199/8472

Given fractions are 7697/676,5199/8472

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 7697,5199

Greatest Common Factor of Numerators i.e. GCF of 7697,5199 is 1 .

LCM of Denominators means LCM of 676,8472 as per the given fractions.

LCM of 676,8472 is 1431768 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7697,5199

GCF of Fractions 7697/676,5199/8472 is 1/1431768

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

Greatest Common Factor of 7697,5199 By Matching Biggest Common Factor Method

Greatest Common Factor of 7697,5199 By Matching Biggest Common Factor Method

Factors of 7697

List of positive integer factors of 7697 that divides 7697 without a remainder.

1,43,179,7697

Factors of 5199

List of positive integer factors of 5199 that divides 5199 without a remainder.

1,3,1733,5199

Greatest Common Factor

We found the factors 7697,5199 . The biggest common factor number is the GCF number.
So the greatest common factor 7697,5199 is 1.

Lets's calculate LCM of 676,8472

2 676, 8472
2 338, 4236
169, 2118

∴ So the LCM of the given numbers is 2 x 2 x 169 x 2118 = 1431768

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1431768

Therefore, the GCF of Fractions 7697/676,5199/8472 is 1/1431768

Least Common Multiple of 676,8472 with GCF Formula

Least Common Multiple of 676,8472 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 676,8472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(676,8472) = 4

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

GCF(676,8472) x common factors =4 x 1 = 4

LCM(676,8472) = ( 676 × 8472 ) / 4

LCM(676,8472) = 5727072 / 4

LCM(676,8472) = 1431768


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 7697/676, 5199/8472

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 7697/676, 5199/8472?

Answer: GCF of Numerators as per given numbers 7697/676, 5199/8472 is

GCF of Numerators i.e. for 7697,5199 is 1

LCM of denominators i.e. for 676,8472 is 1431768.

Thus, GCF of Fractions is 1/1431768.Finally, GCF of Fractions for 7697/676, 5199/8472 is 1/1431768.