Greatest Common Factor of 68/528, 3116/4166

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/528, 3116/4166

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 68/528,3116/4166

Given fractions are 68/528,3116/4166

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 68,3116

Greatest Common Factor of Numerators i.e. GCF of 68,3116 is 4 .

LCM of Denominators means LCM of 528,4166 as per the given fractions.

LCM of 528,4166 is 1099824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,3116

GCF of Fractions 68/528,3116/4166 is 4/1099824

2 68, 3116
2 34, 1558
17, 779

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 68,3116 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,3116 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 3116

List of positive integer factors of 3116 that divides 3116 without a remainder.

1,2,4,19,38,41,76,82,164,779,1558,3116

Greatest Common Factor

We found the factors 68,3116 . The biggest common factor number is the GCF number.
So the greatest common factor 68,3116 is 4.

Lets's calculate LCM of 528,4166

2 528, 4166
264, 2083

∴ So the LCM of the given numbers is 2 x 264 x 2083 = 1099824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1099824

Therefore, the GCF of Fractions 68/528,3116/4166 is 4/1099824

Least Common Multiple of 528,4166 with GCF Formula

Least Common Multiple of 528,4166 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 528,4166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,4166) = 2

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

GCF(528,4166) x common factors =2 x 1 = 2

LCM(528,4166) = ( 528 × 4166 ) / 2

LCM(528,4166) = 2199648 / 2

LCM(528,4166) = 1099824


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 68/528, 3116/4166

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 68/528, 3116/4166?

Answer: GCF of Numerators as per given numbers 68/528, 3116/4166 is

GCF of Numerators i.e. for 68,3116 is 4

LCM of denominators i.e. for 528,4166 is 1099824.

Thus, GCF of Fractions is 4/1099824.Finally, GCF of Fractions for 68/528, 3116/4166 is 4/1099824.