Greatest Common Factor of 2116/10, 4022/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2116/10, 4022/775

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 2116/10,4022/775

Given fractions are 2116/10,4022/775

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 2116,4022

Greatest Common Factor of Numerators i.e. GCF of 2116,4022 is 2 .

LCM of Denominators means LCM of 10,775 as per the given fractions.

LCM of 10,775 is 1550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2116,4022

GCF of Fractions 2116/10,4022/775 is 2/1550

2 2116, 4022
1058, 2011

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

Greatest Common Factor of 2116,4022 By Matching Biggest Common Factor Method

Greatest Common Factor of 2116,4022 By Matching Biggest Common Factor Method

Factors of 2116

List of positive integer factors of 2116 that divides 2116 without a remainder.

1,2,4,23,46,92,529,1058,2116

Factors of 4022

List of positive integer factors of 4022 that divides 4022 without a remainder.

1,2,2011,4022

Greatest Common Factor

We found the factors 2116,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 2116,4022 is 2.

Lets's calculate LCM of 10,775

5 10, 775
2, 155

∴ So the LCM of the given numbers is 5 x 2 x 155 = 1550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1550

Therefore, the GCF of Fractions 2116/10,4022/775 is 2/1550

Least Common Multiple of 10,775 with GCF Formula

Least Common Multiple of 10,775 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 10,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,775) = 5

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

GCF(10,775) x common factors =5 x 1 = 5

LCM(10,775) = ( 10 × 775 ) / 5

LCM(10,775) = 7750 / 5

LCM(10,775) = 1550


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 2116/10, 4022/775

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 2116/10, 4022/775?

Answer: GCF of Numerators as per given numbers 2116/10, 4022/775 is

GCF of Numerators i.e. for 2116,4022 is 2

LCM of denominators i.e. for 10,775 is 1550.

Thus, GCF of Fractions is 2/1550.Finally, GCF of Fractions for 2116/10, 4022/775 is 2/1550.