Greatest Common Factor of 2421/782, 3231/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2421/782, 3231/689

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 2421/782,3231/689

Given fractions are 2421/782,3231/689

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 2421,3231

Greatest Common Factor of Numerators i.e. GCF of 2421,3231 is 9 .

LCM of Denominators means LCM of 782,689 as per the given fractions.

LCM of 782,689 is 538798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2421,3231

GCF of Fractions 2421/782,3231/689 is 9/538798

3 2421, 3231
3 807, 1077
269, 359

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 2421,3231 By Matching Biggest Common Factor Method

Greatest Common Factor of 2421,3231 By Matching Biggest Common Factor Method

Factors of 2421

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

1,3,9,269,807,2421

Factors of 3231

List of positive integer factors of 3231 that divides 3231 without a remainder.

1,3,9,359,1077,3231

Greatest Common Factor

We found the factors 2421,3231 . The biggest common factor number is the GCF number.
So the greatest common factor 2421,3231 is 9.

Lets's calculate LCM of 782,689

Given numbers has no common factors except 1. So, there LCM is their product i.e 538798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/538798

Therefore, the GCF of Fractions 2421/782,3231/689 is 9/538798

Least Common Multiple of 782,689 with GCF Formula

Least Common Multiple of 782,689 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 782,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,689) = 1

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

GCF(782,689) x common factors =1 x 1 = 1

LCM(782,689) = ( 782 × 689 ) / 1

LCM(782,689) = 538798 / 1

LCM(782,689) = 538798


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 2421/782, 3231/689

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 2421/782, 3231/689?

Answer: GCF of Numerators as per given numbers 2421/782, 3231/689 is

GCF of Numerators i.e. for 2421,3231 is 9

LCM of denominators i.e. for 782,689 is 538798.

Thus, GCF of Fractions is 9/538798.Finally, GCF of Fractions for 2421/782, 3231/689 is 9/538798.