Greatest Common Factor of 6016/82, 3918/510

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6016/82, 3918/510

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 6016/82,3918/510

Given fractions are 6016/82,3918/510

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 6016,3918

Greatest Common Factor of Numerators i.e. GCF of 6016,3918 is 2 .

LCM of Denominators means LCM of 82,510 as per the given fractions.

LCM of 82,510 is 20910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6016,3918

GCF of Fractions 6016/82,3918/510 is 2/20910

2 6016, 3918
3008, 1959

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

Greatest Common Factor of 6016,3918 By Matching Biggest Common Factor Method

Greatest Common Factor of 6016,3918 By Matching Biggest Common Factor Method

Factors of 6016

List of positive integer factors of 6016 that divides 6016 without a remainder.

1,2,4,8,16,32,47,64,94,128,188,376,752,1504,3008,6016

Factors of 3918

List of positive integer factors of 3918 that divides 3918 without a remainder.

1,2,3,6,653,1306,1959,3918

Greatest Common Factor

We found the factors 6016,3918 . The biggest common factor number is the GCF number.
So the greatest common factor 6016,3918 is 2.

Lets's calculate LCM of 82,510

2 82, 510
41, 255

∴ So the LCM of the given numbers is 2 x 41 x 255 = 20910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20910

Therefore, the GCF of Fractions 6016/82,3918/510 is 2/20910

Least Common Multiple of 82,510 with GCF Formula

Least Common Multiple of 82,510 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 82,510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,510) = 2

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

GCF(82,510) x common factors =2 x 1 = 2

LCM(82,510) = ( 82 × 510 ) / 2

LCM(82,510) = 41820 / 2

LCM(82,510) = 20910


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 6016/82, 3918/510

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 6016/82, 3918/510?

Answer: GCF of Numerators as per given numbers 6016/82, 3918/510 is

GCF of Numerators i.e. for 6016,3918 is 2

LCM of denominators i.e. for 82,510 is 20910.

Thus, GCF of Fractions is 2/20910.Finally, GCF of Fractions for 6016/82, 3918/510 is 2/20910.