Greatest Common Factor of 2464/797, 7539/4189

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2464/797, 7539/4189

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 2464/797,7539/4189

Given fractions are 2464/797,7539/4189

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 2464,7539

Greatest Common Factor of Numerators i.e. GCF of 2464,7539 is 7 .

LCM of Denominators means LCM of 797,4189 as per the given fractions.

LCM of 797,4189 is 3338633 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2464,7539

GCF of Fractions 2464/797,7539/4189 is 7/3338633

7 2464, 7539
352, 1077

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 2464,7539 By Matching Biggest Common Factor Method

Greatest Common Factor of 2464,7539 By Matching Biggest Common Factor Method

Factors of 2464

List of positive integer factors of 2464 that divides 2464 without a remainder.

1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464

Factors of 7539

List of positive integer factors of 7539 that divides 7539 without a remainder.

1,3,7,21,359,1077,2513,7539

Greatest Common Factor

We found the factors 2464,7539 . The biggest common factor number is the GCF number.
So the greatest common factor 2464,7539 is 7.

Lets's calculate LCM of 797,4189

Given numbers has no common factors except 1. So, there LCM is their product i.e 3338633

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/3338633

Therefore, the GCF of Fractions 2464/797,7539/4189 is 7/3338633

Least Common Multiple of 797,4189 with GCF Formula

Least Common Multiple of 797,4189 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 797,4189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,4189) = 1

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

GCF(797,4189) x common factors =1 x 1 = 1

LCM(797,4189) = ( 797 × 4189 ) / 1

LCM(797,4189) = 3338633 / 1

LCM(797,4189) = 3338633


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 2464/797, 7539/4189

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 2464/797, 7539/4189?

Answer: GCF of Numerators as per given numbers 2464/797, 7539/4189 is

GCF of Numerators i.e. for 2464,7539 is 7

LCM of denominators i.e. for 797,4189 is 3338633.

Thus, GCF of Fractions is 7/3338633.Finally, GCF of Fractions for 2464/797, 7539/4189 is 7/3338633.