Greatest Common Factor of 7990/931, 8240/6616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7990/931, 8240/6616

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 7990/931,8240/6616

Given fractions are 7990/931,8240/6616

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 7990,8240

Greatest Common Factor of Numerators i.e. GCF of 7990,8240 is 10 .

LCM of Denominators means LCM of 931,6616 as per the given fractions.

LCM of 931,6616 is 6159496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7990,8240

GCF of Fractions 7990/931,8240/6616 is 10/6159496

2 7990, 8240
5 3995, 4120
799, 824

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 7990,8240 By Matching Biggest Common Factor Method

Greatest Common Factor of 7990,8240 By Matching Biggest Common Factor Method

Factors of 7990

List of positive integer factors of 7990 that divides 7990 without a remainder.

1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Greatest Common Factor

We found the factors 7990,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 7990,8240 is 10.

Lets's calculate LCM of 931,6616

Given numbers has no common factors except 1. So, there LCM is their product i.e 6159496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/6159496

Therefore, the GCF of Fractions 7990/931,8240/6616 is 10/6159496

Least Common Multiple of 931,6616 with GCF Formula

Least Common Multiple of 931,6616 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 931,6616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,6616) = 1

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

GCF(931,6616) x common factors =1 x 1 = 1

LCM(931,6616) = ( 931 × 6616 ) / 1

LCM(931,6616) = 6159496 / 1

LCM(931,6616) = 6159496


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 7990/931, 8240/6616

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 7990/931, 8240/6616?

Answer: GCF of Numerators as per given numbers 7990/931, 8240/6616 is

GCF of Numerators i.e. for 7990,8240 is 10

LCM of denominators i.e. for 931,6616 is 6159496.

Thus, GCF of Fractions is 10/6159496.Finally, GCF of Fractions for 7990/931, 8240/6616 is 10/6159496.