Greatest Common Factor of 920/45, 912/2567

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 920/45, 912/2567

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 920/45,912/2567

Given fractions are 920/45,912/2567

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 920,912

Greatest Common Factor of Numerators i.e. GCF of 920,912 is 8 .

LCM of Denominators means LCM of 45,2567 as per the given fractions.

LCM of 45,2567 is 115515 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,912

GCF of Fractions 920/45,912/2567 is 8/115515

2 920, 912
2 460, 456
2 230, 228
115, 114

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 920,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,912 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 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 920,912 . The biggest common factor number is the GCF number.
So the greatest common factor 920,912 is 8.

Lets's calculate LCM of 45,2567

Given numbers has no common factors except 1. So, there LCM is their product i.e 115515

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/115515

Therefore, the GCF of Fractions 920/45,912/2567 is 8/115515

Least Common Multiple of 45,2567 with GCF Formula

Least Common Multiple of 45,2567 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 45,2567 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,2567) = 1

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

GCF(45,2567) x common factors =1 x 1 = 1

LCM(45,2567) = ( 45 × 2567 ) / 1

LCM(45,2567) = 115515 / 1

LCM(45,2567) = 115515


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 920/45, 912/2567

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 920/45, 912/2567?

Answer: GCF of Numerators as per given numbers 920/45, 912/2567 is

GCF of Numerators i.e. for 920,912 is 8

LCM of denominators i.e. for 45,2567 is 115515.

Thus, GCF of Fractions is 8/115515.Finally, GCF of Fractions for 920/45, 912/2567 is 8/115515.