Greatest Common Factor of 5962/66, 8151/684

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5962/66, 8151/684

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 5962/66,8151/684

Given fractions are 5962/66,8151/684

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 5962,8151

Greatest Common Factor of Numerators i.e. GCF of 5962,8151 is 11 .

LCM of Denominators means LCM of 66,684 as per the given fractions.

LCM of 66,684 is 7524 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5962,8151

GCF of Fractions 5962/66,8151/684 is 11/7524

11 5962, 8151
542, 741

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 5962,8151 By Matching Biggest Common Factor Method

Greatest Common Factor of 5962,8151 By Matching Biggest Common Factor Method

Factors of 5962

List of positive integer factors of 5962 that divides 5962 without a remainder.

1,2,11,22,271,542,2981,5962

Factors of 8151

List of positive integer factors of 8151 that divides 8151 without a remainder.

1,3,11,13,19,33,39,57,143,209,247,429,627,741,2717,8151

Greatest Common Factor

We found the factors 5962,8151 . The biggest common factor number is the GCF number.
So the greatest common factor 5962,8151 is 11.

Lets's calculate LCM of 66,684

2 66, 684
3 33, 342
11, 114

∴ So the LCM of the given numbers is 2 x 3 x 11 x 114 = 7524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7524

Therefore, the GCF of Fractions 5962/66,8151/684 is 11/7524

Least Common Multiple of 66,684 with GCF Formula

Least Common Multiple of 66,684 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 66,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,684) = 6

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

GCF(66,684) x common factors =6 x 1 = 6

LCM(66,684) = ( 66 × 684 ) / 6

LCM(66,684) = 45144 / 6

LCM(66,684) = 7524


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 5962/66, 8151/684

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 5962/66, 8151/684?

Answer: GCF of Numerators as per given numbers 5962/66, 8151/684 is

GCF of Numerators i.e. for 5962,8151 is 11

LCM of denominators i.e. for 66,684 is 7524.

Thus, GCF of Fractions is 11/7524.Finally, GCF of Fractions for 5962/66, 8151/684 is 11/7524.