Greatest Common Factor of 1612/52, 7190/116

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1612/52, 7190/116

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 1612/52,7190/116

Given fractions are 1612/52,7190/116

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 1612,7190

Greatest Common Factor of Numerators i.e. GCF of 1612,7190 is 2 .

LCM of Denominators means LCM of 52,116 as per the given fractions.

LCM of 52,116 is 1508 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1612,7190

GCF of Fractions 1612/52,7190/116 is 2/1508

2 1612, 7190
806, 3595

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

Greatest Common Factor of 1612,7190 By Matching Biggest Common Factor Method

Greatest Common Factor of 1612,7190 By Matching Biggest Common Factor Method

Factors of 1612

List of positive integer factors of 1612 that divides 1612 without a remainder.

1,2,4,13,26,31,52,62,124,403,806,1612

Factors of 7190

List of positive integer factors of 7190 that divides 7190 without a remainder.

1,2,5,10,719,1438,3595,7190

Greatest Common Factor

We found the factors 1612,7190 . The biggest common factor number is the GCF number.
So the greatest common factor 1612,7190 is 2.

Lets's calculate LCM of 52,116

2 52, 116
2 26, 58
13, 29

∴ So the LCM of the given numbers is 2 x 2 x 13 x 29 = 1508

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1508

Therefore, the GCF of Fractions 1612/52,7190/116 is 2/1508

Least Common Multiple of 52,116 with GCF Formula

Least Common Multiple of 52,116 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 52,116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,116) = 4

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

GCF(52,116) x common factors =4 x 1 = 4

LCM(52,116) = ( 52 × 116 ) / 4

LCM(52,116) = 6032 / 4

LCM(52,116) = 1508


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 1612/52, 7190/116

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 1612/52, 7190/116?

Answer: GCF of Numerators as per given numbers 1612/52, 7190/116 is

GCF of Numerators i.e. for 1612,7190 is 2

LCM of denominators i.e. for 52,116 is 1508.

Thus, GCF of Fractions is 2/1508.Finally, GCF of Fractions for 1612/52, 7190/116 is 2/1508.