Greatest Common Factor of 968/25, 684/7838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 968/25, 684/7838

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 968/25,684/7838

Given fractions are 968/25,684/7838

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 968,684

Greatest Common Factor of Numerators i.e. GCF of 968,684 is 4 .

LCM of Denominators means LCM of 25,7838 as per the given fractions.

LCM of 25,7838 is 195950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 968,684

GCF of Fractions 968/25,684/7838 is 4/195950

2 968, 684
2 484, 342
242, 171

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

Greatest Common Factor of 968,684 By Matching Biggest Common Factor Method

Greatest Common Factor of 968,684 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 684

List of positive integer factors of 684 that divides 684 without a remainder.

1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684

Greatest Common Factor

We found the factors 968,684 . The biggest common factor number is the GCF number.
So the greatest common factor 968,684 is 4.

Lets's calculate LCM of 25,7838

Given numbers has no common factors except 1. So, there LCM is their product i.e 195950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/195950

Therefore, the GCF of Fractions 968/25,684/7838 is 4/195950

Least Common Multiple of 25,7838 with GCF Formula

Least Common Multiple of 25,7838 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 25,7838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,7838) = 1

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

GCF(25,7838) x common factors =1 x 1 = 1

LCM(25,7838) = ( 25 × 7838 ) / 1

LCM(25,7838) = 195950 / 1

LCM(25,7838) = 195950


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 968/25, 684/7838

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 968/25, 684/7838?

Answer: GCF of Numerators as per given numbers 968/25, 684/7838 is

GCF of Numerators i.e. for 968,684 is 4

LCM of denominators i.e. for 25,7838 is 195950.

Thus, GCF of Fractions is 4/195950.Finally, GCF of Fractions for 968/25, 684/7838 is 4/195950.