Greatest Common Factor of 920/534, 9071/456

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 920/534, 9071/456

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 920/534,9071/456

Given fractions are 920/534,9071/456

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 920,9071

Greatest Common Factor of Numerators i.e. GCF of 920,9071 is 1 .

LCM of Denominators means LCM of 534,456 as per the given fractions.

LCM of 534,456 is 40584 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,9071

GCF of Fractions 920/534,9071/456 is 1/40584

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

Greatest Common Factor of 920,9071 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,9071 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 9071

List of positive integer factors of 9071 that divides 9071 without a remainder.

1,47,193,9071

Greatest Common Factor

We found the factors 920,9071 . The biggest common factor number is the GCF number.
So the greatest common factor 920,9071 is 1.

Lets's calculate LCM of 534,456

2 534, 456
3 267, 228
89, 76

∴ So the LCM of the given numbers is 2 x 3 x 89 x 76 = 40584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40584

Therefore, the GCF of Fractions 920/534,9071/456 is 1/40584

Least Common Multiple of 534,456 with GCF Formula

Least Common Multiple of 534,456 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 534,456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,456) = 6

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

GCF(534,456) x common factors =6 x 1 = 6

LCM(534,456) = ( 534 × 456 ) / 6

LCM(534,456) = 243504 / 6

LCM(534,456) = 40584


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 920/534, 9071/456

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 920/534, 9071/456?

Answer: GCF of Numerators as per given numbers 920/534, 9071/456 is

GCF of Numerators i.e. for 920,9071 is 1

LCM of denominators i.e. for 534,456 is 40584.

Thus, GCF of Fractions is 1/40584.Finally, GCF of Fractions for 920/534, 9071/456 is 1/40584.