Greatest Common Factor of 451/28, 988/636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 451/28, 988/636

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 451/28,988/636

Given fractions are 451/28,988/636

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 451,988

Greatest Common Factor of Numerators i.e. GCF of 451,988 is 1 .

LCM of Denominators means LCM of 28,636 as per the given fractions.

LCM of 28,636 is 4452 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 451,988

GCF of Fractions 451/28,988/636 is 1/4452

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

Greatest Common Factor of 451,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 451,988 By Matching Biggest Common Factor Method

Factors of 451

List of positive integer factors of 451 that divides 451 without a remainder.

1,11,41,451

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 451,988 . The biggest common factor number is the GCF number.
So the greatest common factor 451,988 is 1.

Lets's calculate LCM of 28,636

2 28, 636
2 14, 318
7, 159

∴ So the LCM of the given numbers is 2 x 2 x 7 x 159 = 4452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4452

Therefore, the GCF of Fractions 451/28,988/636 is 1/4452

Least Common Multiple of 28,636 with GCF Formula

Least Common Multiple of 28,636 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 28,636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,636) = 4

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

GCF(28,636) x common factors =4 x 1 = 4

LCM(28,636) = ( 28 × 636 ) / 4

LCM(28,636) = 17808 / 4

LCM(28,636) = 4452


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 451/28, 988/636

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 451/28, 988/636?

Answer: GCF of Numerators as per given numbers 451/28, 988/636 is

GCF of Numerators i.e. for 451,988 is 1

LCM of denominators i.e. for 28,636 is 4452.

Thus, GCF of Fractions is 1/4452.Finally, GCF of Fractions for 451/28, 988/636 is 1/4452.