Greatest Common Factor of 920/564, 280/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 920/564, 280/860

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 920/564,280/860

Given fractions are 920/564,280/860

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 920,280

Greatest Common Factor of Numerators i.e. GCF of 920,280 is 40 .

LCM of Denominators means LCM of 564,860 as per the given fractions.

LCM of 564,860 is 121260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,280

GCF of Fractions 920/564,280/860 is 40/121260

2 920, 280
2 460, 140
2 230, 70
5 115, 35
23, 7

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 920,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,280 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 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 920,280 . The biggest common factor number is the GCF number.
So the greatest common factor 920,280 is 40.

Lets's calculate LCM of 564,860

2 564, 860
2 282, 430
141, 215

∴ So the LCM of the given numbers is 2 x 2 x 141 x 215 = 121260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/121260

Therefore, the GCF of Fractions 920/564,280/860 is 40/121260

Least Common Multiple of 564,860 with GCF Formula

Least Common Multiple of 564,860 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 564,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,860) = 4

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

GCF(564,860) x common factors =4 x 1 = 4

LCM(564,860) = ( 564 × 860 ) / 4

LCM(564,860) = 485040 / 4

LCM(564,860) = 121260


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 920/564, 280/860

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 920/564, 280/860?

Answer: GCF of Numerators as per given numbers 920/564, 280/860 is

GCF of Numerators i.e. for 920,280 is 40

LCM of denominators i.e. for 564,860 is 121260.

Thus, GCF of Fractions is 40/121260.Finally, GCF of Fractions for 920/564, 280/860 is 40/121260.