Greatest Common Factor of 964/786, 2421/6354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 964/786, 2421/6354

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 964/786,2421/6354

Given fractions are 964/786,2421/6354

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 964,2421

Greatest Common Factor of Numerators i.e. GCF of 964,2421 is 1 .

LCM of Denominators means LCM of 786,6354 as per the given fractions.

LCM of 786,6354 is 832374 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 964,2421

GCF of Fractions 964/786,2421/6354 is 1/832374

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

Greatest Common Factor of 964,2421 By Matching Biggest Common Factor Method

Greatest Common Factor of 964,2421 By Matching Biggest Common Factor Method

Factors of 964

List of positive integer factors of 964 that divides 964 without a remainder.

1,2,4,241,482,964

Factors of 2421

List of positive integer factors of 2421 that divides 2421 without a remainder.

1,3,9,269,807,2421

Greatest Common Factor

We found the factors 964,2421 . The biggest common factor number is the GCF number.
So the greatest common factor 964,2421 is 1.

Lets's calculate LCM of 786,6354

2 786, 6354
3 393, 3177
131, 1059

∴ So the LCM of the given numbers is 2 x 3 x 131 x 1059 = 832374

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/832374

Therefore, the GCF of Fractions 964/786,2421/6354 is 1/832374

Least Common Multiple of 786,6354 with GCF Formula

Least Common Multiple of 786,6354 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 786,6354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(786,6354) = 6

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

GCF(786,6354) x common factors =6 x 1 = 6

LCM(786,6354) = ( 786 × 6354 ) / 6

LCM(786,6354) = 4994244 / 6

LCM(786,6354) = 832374


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 964/786, 2421/6354

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 964/786, 2421/6354?

Answer: GCF of Numerators as per given numbers 964/786, 2421/6354 is

GCF of Numerators i.e. for 964,2421 is 1

LCM of denominators i.e. for 786,6354 is 832374.

Thus, GCF of Fractions is 1/832374.Finally, GCF of Fractions for 964/786, 2421/6354 is 1/832374.