Greatest Common Factor of 2421/623, 3263/7920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2421/623, 3263/7920

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 2421/623,3263/7920

Given fractions are 2421/623,3263/7920

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 2421,3263

Greatest Common Factor of Numerators i.e. GCF of 2421,3263 is 1 .

LCM of Denominators means LCM of 623,7920 as per the given fractions.

LCM of 623,7920 is 4934160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2421,3263

GCF of Fractions 2421/623,3263/7920 is 1/4934160

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

Greatest Common Factor of 2421,3263 By Matching Biggest Common Factor Method

Greatest Common Factor of 2421,3263 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 3263

List of positive integer factors of 3263 that divides 3263 without a remainder.

1,13,251,3263

Greatest Common Factor

We found the factors 2421,3263 . The biggest common factor number is the GCF number.
So the greatest common factor 2421,3263 is 1.


Lets's calculate LCM of 623,7920

Given numbers has no common factors except 1. So, there LCM is their product i.e 4934160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4934160

Therefore, the GCF of Fractions 2421/623,3263/7920 is 1/4934160

Least Common Multiple of 623,7920 with GCF Formula

Least Common Multiple of 623,7920 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 623,7920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(623,7920) = 1

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

GCF(623,7920) x common factors =1 x 1 = 1

LCM(623,7920) = ( 623 × 7920 ) / 1

LCM(623,7920) = 4934160 / 1

LCM(623,7920) = 4934160


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2421/623, 3263/7920

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 2421/623, 3263/7920?

Answer: GCF of Numerators as per given numbers 2421/623, 3263/7920 is

GCF of Numerators i.e. for 2421,3263 is 1

LCM of denominators i.e. for 623,7920 is 4934160.

Thus, GCF of Fractions is 1/4934160.Finally, GCF of Fractions for 2421/623, 3263/7920 is 1/4934160.