Greatest Common Factor of 458/612, 5496/7913

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 458/612, 5496/7913

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 458/612,5496/7913

Given fractions are 458/612,5496/7913

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 458,5496

Greatest Common Factor of Numerators i.e. GCF of 458,5496 is 458 .

LCM of Denominators means LCM of 612,7913 as per the given fractions.

LCM of 612,7913 is 4842756 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 458,5496

GCF of Fractions 458/612,5496/7913 is 458/4842756

2 458, 5496
229 229, 2748
1, 12

∴ So the GCF of the given numbers is 2 x 229 = 458

Greatest Common Factor of 458,5496 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,5496 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 5496

List of positive integer factors of 5496 that divides 5496 without a remainder.

1,2,3,4,6,8,12,24,229,458,687,916,1374,1832,2748,5496

Greatest Common Factor

We found the factors 458,5496 . The biggest common factor number is the GCF number.
So the greatest common factor 458,5496 is 458.

Lets's calculate LCM of 612,7913

Given numbers has no common factors except 1. So, there LCM is their product i.e 4842756

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 458/4842756

Therefore, the GCF of Fractions 458/612,5496/7913 is 458/4842756

Least Common Multiple of 612,7913 with GCF Formula

Least Common Multiple of 612,7913 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 612,7913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,7913) = 1

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

GCF(612,7913) x common factors =1 x 1 = 1

LCM(612,7913) = ( 612 × 7913 ) / 1

LCM(612,7913) = 4842756 / 1

LCM(612,7913) = 4842756


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 458/612, 5496/7913

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 458/612, 5496/7913?

Answer: GCF of Numerators as per given numbers 458/612, 5496/7913 is

GCF of Numerators i.e. for 458,5496 is 458

LCM of denominators i.e. for 612,7913 is 4842756.

Thus, GCF of Fractions is 458/4842756.Finally, GCF of Fractions for 458/612, 5496/7913 is 458/4842756.