Greatest Common Factor of 3097/519, 1975/7842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3097/519, 1975/7842

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 3097/519,1975/7842

Given fractions are 3097/519,1975/7842

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 3097,1975

Greatest Common Factor of Numerators i.e. GCF of 3097,1975 is 1 .

LCM of Denominators means LCM of 519,7842 as per the given fractions.

LCM of 519,7842 is 1356666 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3097,1975

GCF of Fractions 3097/519,1975/7842 is 1/1356666

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

Greatest Common Factor of 3097,1975 By Matching Biggest Common Factor Method

Greatest Common Factor of 3097,1975 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 1975

List of positive integer factors of 1975 that divides 1975 without a remainder.

1,5,25,79,395,1975

Greatest Common Factor

We found the factors 3097,1975 . The biggest common factor number is the GCF number.
So the greatest common factor 3097,1975 is 1.

Lets's calculate LCM of 519,7842

3 519, 7842
173, 2614

∴ So the LCM of the given numbers is 3 x 173 x 2614 = 1356666

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1356666

Therefore, the GCF of Fractions 3097/519,1975/7842 is 1/1356666

Least Common Multiple of 519,7842 with GCF Formula

Least Common Multiple of 519,7842 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 519,7842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,7842) = 3

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

GCF(519,7842) x common factors =3 x 1 = 3

LCM(519,7842) = ( 519 × 7842 ) / 3

LCM(519,7842) = 4069998 / 3

LCM(519,7842) = 1356666


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 3097/519, 1975/7842

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 3097/519, 1975/7842?

Answer: GCF of Numerators as per given numbers 3097/519, 1975/7842 is

GCF of Numerators i.e. for 3097,1975 is 1

LCM of denominators i.e. for 519,7842 is 1356666.

Thus, GCF of Fractions is 1/1356666.Finally, GCF of Fractions for 3097/519, 1975/7842 is 1/1356666.