Greatest Common Factor of 920/56, 437/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 920/56, 437/702

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 920/56,437/702

Given fractions are 920/56,437/702

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 920,437

Greatest Common Factor of Numerators i.e. GCF of 920,437 is 23 .

LCM of Denominators means LCM of 56,702 as per the given fractions.

LCM of 56,702 is 19656 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,437

GCF of Fractions 920/56,437/702 is 23/19656

23 920, 437
40, 19

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 920,437 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,437 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 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Greatest Common Factor

We found the factors 920,437 . The biggest common factor number is the GCF number.
So the greatest common factor 920,437 is 23.

Lets's calculate LCM of 56,702

2 56, 702
28, 351

∴ So the LCM of the given numbers is 2 x 28 x 351 = 19656

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/19656

Therefore, the GCF of Fractions 920/56,437/702 is 23/19656

Least Common Multiple of 56,702 with GCF Formula

Least Common Multiple of 56,702 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 56,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,702) = 2

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

GCF(56,702) x common factors =2 x 1 = 2

LCM(56,702) = ( 56 × 702 ) / 2

LCM(56,702) = 39312 / 2

LCM(56,702) = 19656


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 920/56, 437/702

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 920/56, 437/702?

Answer: GCF of Numerators as per given numbers 920/56, 437/702 is

GCF of Numerators i.e. for 920,437 is 23

LCM of denominators i.e. for 56,702 is 19656.

Thus, GCF of Fractions is 23/19656.Finally, GCF of Fractions for 920/56, 437/702 is 23/19656.