Greatest Common Factor of 3251/656, 9552/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3251/656, 9552/492

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 3251/656,9552/492

Given fractions are 3251/656,9552/492

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 3251,9552

Greatest Common Factor of Numerators i.e. GCF of 3251,9552 is 1 .

LCM of Denominators means LCM of 656,492 as per the given fractions.

LCM of 656,492 is 1968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3251,9552

GCF of Fractions 3251/656,9552/492 is 1/1968

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

Greatest Common Factor of 3251,9552 By Matching Biggest Common Factor Method

Greatest Common Factor of 3251,9552 By Matching Biggest Common Factor Method

Factors of 3251

List of positive integer factors of 3251 that divides 3251 without a remainder.

1,3251

Factors of 9552

List of positive integer factors of 9552 that divides 9552 without a remainder.

1,2,3,4,6,8,12,16,24,48,199,398,597,796,1194,1592,2388,3184,4776,9552

Greatest Common Factor

We found the factors 3251,9552 . The biggest common factor number is the GCF number.
So the greatest common factor 3251,9552 is 1.

Lets's calculate LCM of 656,492

2 656, 492
2 328, 246
41 164, 123
4, 3

∴ So the LCM of the given numbers is 2 x 2 x 41 x 4 x 3 = 1968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1968

Therefore, the GCF of Fractions 3251/656,9552/492 is 1/1968

Least Common Multiple of 656,492 with GCF Formula

Least Common Multiple of 656,492 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 656,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(656,492) = 164

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

GCF(656,492) x common factors =164 x 1 = 164

LCM(656,492) = ( 656 × 492 ) / 164

LCM(656,492) = 322752 / 164

LCM(656,492) = 1968


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 3251/656, 9552/492

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 3251/656, 9552/492?

Answer: GCF of Numerators as per given numbers 3251/656, 9552/492 is

GCF of Numerators i.e. for 3251,9552 is 1

LCM of denominators i.e. for 656,492 is 1968.

Thus, GCF of Fractions is 1/1968.Finally, GCF of Fractions for 3251/656, 9552/492 is 1/1968.