Greatest Common Factor of 820/499, 3760/931

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 820/499, 3760/931

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 820/499,3760/931

Given fractions are 820/499,3760/931

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 820,3760

Greatest Common Factor of Numerators i.e. GCF of 820,3760 is 20 .

LCM of Denominators means LCM of 499,931 as per the given fractions.

LCM of 499,931 is 464569 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 820,3760

GCF of Fractions 820/499,3760/931 is 20/464569

2 820, 3760
2 410, 1880
5 205, 940
41, 188

∴ So the GCF of the given numbers is 2 x 2 x 5 = 20

Greatest Common Factor of 820,3760 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,3760 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 3760

List of positive integer factors of 3760 that divides 3760 without a remainder.

1,2,4,5,8,10,16,20,40,47,80,94,188,235,376,470,752,940,1880,3760

Greatest Common Factor

We found the factors 820,3760 . The biggest common factor number is the GCF number.
So the greatest common factor 820,3760 is 20.

Lets's calculate LCM of 499,931

Given numbers has no common factors except 1. So, there LCM is their product i.e 464569

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/464569

Therefore, the GCF of Fractions 820/499,3760/931 is 20/464569

Least Common Multiple of 499,931 with GCF Formula

Least Common Multiple of 499,931 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 499,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(499,931) = 1

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

GCF(499,931) x common factors =1 x 1 = 1

LCM(499,931) = ( 499 × 931 ) / 1

LCM(499,931) = 464569 / 1

LCM(499,931) = 464569


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 820/499, 3760/931

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 820/499, 3760/931?

Answer: GCF of Numerators as per given numbers 820/499, 3760/931 is

GCF of Numerators i.e. for 820,3760 is 20

LCM of denominators i.e. for 499,931 is 464569.

Thus, GCF of Fractions is 20/464569.Finally, GCF of Fractions for 820/499, 3760/931 is 20/464569.