Greatest Common Factor of 2512/992, 3196/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2512/992, 3196/697

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 2512/992,3196/697

Given fractions are 2512/992,3196/697

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 2512,3196

Greatest Common Factor of Numerators i.e. GCF of 2512,3196 is 4 .

LCM of Denominators means LCM of 992,697 as per the given fractions.

LCM of 992,697 is 691424 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2512,3196

GCF of Fractions 2512/992,3196/697 is 4/691424

2 2512, 3196
2 1256, 1598
628, 799

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 2512,3196 By Matching Biggest Common Factor Method

Greatest Common Factor of 2512,3196 By Matching Biggest Common Factor Method

Factors of 2512

List of positive integer factors of 2512 that divides 2512 without a remainder.

1,2,4,8,16,157,314,628,1256,2512

Factors of 3196

List of positive integer factors of 3196 that divides 3196 without a remainder.

1,2,4,17,34,47,68,94,188,799,1598,3196

Greatest Common Factor

We found the factors 2512,3196 . The biggest common factor number is the GCF number.
So the greatest common factor 2512,3196 is 4.

Lets's calculate LCM of 992,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 691424

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/691424

Therefore, the GCF of Fractions 2512/992,3196/697 is 4/691424

Least Common Multiple of 992,697 with GCF Formula

Least Common Multiple of 992,697 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 992,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,697) = 1

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

GCF(992,697) x common factors =1 x 1 = 1

LCM(992,697) = ( 992 × 697 ) / 1

LCM(992,697) = 691424 / 1

LCM(992,697) = 691424


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 2512/992, 3196/697

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 2512/992, 3196/697?

Answer: GCF of Numerators as per given numbers 2512/992, 3196/697 is

GCF of Numerators i.e. for 2512,3196 is 4

LCM of denominators i.e. for 992,697 is 691424.

Thus, GCF of Fractions is 4/691424.Finally, GCF of Fractions for 2512/992, 3196/697 is 4/691424.