Greatest Common Factor of 968/254, 497/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 968/254, 497/832

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 968/254,497/832

Given fractions are 968/254,497/832

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 968,497

Greatest Common Factor of Numerators i.e. GCF of 968,497 is 1 .

LCM of Denominators means LCM of 254,832 as per the given fractions.

LCM of 254,832 is 105664 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 968,497

GCF of Fractions 968/254,497/832 is 1/105664

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

Greatest Common Factor of 968,497 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,497 By Matching Biggest Common Factor Method

Factors of 968

List of positive integer factors of 968 that divides 968 without a remainder.

1,2,4,8,11,22,44,88,121,242,484,968

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Greatest Common Factor

We found the factors 968,497 . The biggest common factor number is the GCF number.
So the greatest common factor 968,497 is 1.

Lets's calculate LCM of 254,832

2 254, 832
127, 416

∴ So the LCM of the given numbers is 2 x 127 x 416 = 105664

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105664

Therefore, the GCF of Fractions 968/254,497/832 is 1/105664

Least Common Multiple of 254,832 with GCF Formula

Least Common Multiple of 254,832 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 254,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(254,832) = 2

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

GCF(254,832) x common factors =2 x 1 = 2

LCM(254,832) = ( 254 × 832 ) / 2

LCM(254,832) = 211328 / 2

LCM(254,832) = 105664


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 968/254, 497/832

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 968/254, 497/832?

Answer: GCF of Numerators as per given numbers 968/254, 497/832 is

GCF of Numerators i.e. for 968,497 is 1

LCM of denominators i.e. for 254,832 is 105664.

Thus, GCF of Fractions is 1/105664.Finally, GCF of Fractions for 968/254, 497/832 is 1/105664.