Greatest Common Factor of 7750/790, 8116/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7750/790, 8116/371

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 7750/790,8116/371

Given fractions are 7750/790,8116/371

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 7750,8116

Greatest Common Factor of Numerators i.e. GCF of 7750,8116 is 2 .

LCM of Denominators means LCM of 790,371 as per the given fractions.

LCM of 790,371 is 293090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7750,8116

GCF of Fractions 7750/790,8116/371 is 2/293090

2 7750, 8116
3875, 4058

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7750,8116 By Matching Biggest Common Factor Method

Greatest Common Factor of 7750,8116 By Matching Biggest Common Factor Method

Factors of 7750

List of positive integer factors of 7750 that divides 7750 without a remainder.

1,2,5,10,25,31,50,62,125,155,250,310,775,1550,3875,7750

Factors of 8116

List of positive integer factors of 8116 that divides 8116 without a remainder.

1,2,4,2029,4058,8116

Greatest Common Factor

We found the factors 7750,8116 . The biggest common factor number is the GCF number.
So the greatest common factor 7750,8116 is 2.

Lets's calculate LCM of 790,371

Given numbers has no common factors except 1. So, there LCM is their product i.e 293090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/293090

Therefore, the GCF of Fractions 7750/790,8116/371 is 2/293090

Least Common Multiple of 790,371 with GCF Formula

Least Common Multiple of 790,371 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 790,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,371) = 1

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

GCF(790,371) x common factors =1 x 1 = 1

LCM(790,371) = ( 790 × 371 ) / 1

LCM(790,371) = 293090 / 1

LCM(790,371) = 293090


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 7750/790, 8116/371

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 7750/790, 8116/371?

Answer: GCF of Numerators as per given numbers 7750/790, 8116/371 is

GCF of Numerators i.e. for 7750,8116 is 2

LCM of denominators i.e. for 790,371 is 293090.

Thus, GCF of Fractions is 2/293090.Finally, GCF of Fractions for 7750/790, 8116/371 is 2/293090.