Greatest Common Factor of 5600/932, 4680/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5600/932, 4680/931

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 5600/932,4680/931

Given fractions are 5600/932,4680/931

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 5600,4680

Greatest Common Factor of Numerators i.e. GCF of 5600,4680 is 40 .

LCM of Denominators means LCM of 932,931 as per the given fractions.

LCM of 932,931 is 867692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5600,4680

GCF of Fractions 5600/932,4680/931 is 40/867692

2 5600, 4680
2 2800, 2340
2 1400, 1170
5 700, 585
140, 117

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

Greatest Common Factor of 5600,4680 By Matching Biggest Common Factor Method

Greatest Common Factor of 5600,4680 By Matching Biggest Common Factor Method

Factors of 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680

Greatest Common Factor

We found the factors 5600,4680 . The biggest common factor number is the GCF number.
So the greatest common factor 5600,4680 is 40.

Lets's calculate LCM of 932,931

Given numbers has no common factors except 1. So, there LCM is their product i.e 867692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/867692

Therefore, the GCF of Fractions 5600/932,4680/931 is 40/867692

Least Common Multiple of 932,931 with GCF Formula

Least Common Multiple of 932,931 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 932,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(932,931) = 1

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

GCF(932,931) x common factors =1 x 1 = 1

LCM(932,931) = ( 932 × 931 ) / 1

LCM(932,931) = 867692 / 1

LCM(932,931) = 867692


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 5600/932, 4680/931

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 5600/932, 4680/931?

Answer: GCF of Numerators as per given numbers 5600/932, 4680/931 is

GCF of Numerators i.e. for 5600,4680 is 40

LCM of denominators i.e. for 932,931 is 867692.

Thus, GCF of Fractions is 40/867692.Finally, GCF of Fractions for 5600/932, 4680/931 is 40/867692.