Greatest Common Factor of 3097/674, 8474/9724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3097/674, 8474/9724

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 3097/674,8474/9724

Given fractions are 3097/674,8474/9724

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 3097,8474

Greatest Common Factor of Numerators i.e. GCF of 3097,8474 is 19 .

LCM of Denominators means LCM of 674,9724 as per the given fractions.

LCM of 674,9724 is 3276988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3097,8474

GCF of Fractions 3097/674,8474/9724 is 19/3276988

19 3097, 8474
163, 446

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 3097,8474 By Matching Biggest Common Factor Method

Greatest Common Factor of 3097,8474 By Matching Biggest Common Factor Method

Factors of 3097

List of positive integer factors of 3097 that divides 3097 without a remainder.

1,19,163,3097

Factors of 8474

List of positive integer factors of 8474 that divides 8474 without a remainder.

1,2,19,38,223,446,4237,8474

Greatest Common Factor

We found the factors 3097,8474 . The biggest common factor number is the GCF number.
So the greatest common factor 3097,8474 is 19.

Lets's calculate LCM of 674,9724

2 674, 9724
337, 4862

∴ So the LCM of the given numbers is 2 x 337 x 4862 = 3276988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/3276988

Therefore, the GCF of Fractions 3097/674,8474/9724 is 19/3276988

Least Common Multiple of 674,9724 with GCF Formula

Least Common Multiple of 674,9724 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 674,9724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,9724) = 2

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

GCF(674,9724) x common factors =2 x 1 = 2

LCM(674,9724) = ( 674 × 9724 ) / 2

LCM(674,9724) = 6553976 / 2

LCM(674,9724) = 3276988


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 3097/674, 8474/9724

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 3097/674, 8474/9724?

Answer: GCF of Numerators as per given numbers 3097/674, 8474/9724 is

GCF of Numerators i.e. for 3097,8474 is 19

LCM of denominators i.e. for 674,9724 is 3276988.

Thus, GCF of Fractions is 19/3276988.Finally, GCF of Fractions for 3097/674, 8474/9724 is 19/3276988.