Greatest Common Factor of 8/84, 51/89, 68/363, 650/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/84, 51/89, 68/363, 650/732

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 8/84,51/89,68/363,650/732

Given fractions are 8/84,51/89,68/363,650/732

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 8,51,68,650

Greatest Common Factor of Numerators i.e. GCF of 8,51,68,650 is 1 .

LCM of Denominators means LCM of 84,89,363,732 as per the given fractions.

LCM of 84,89,363,732 is 55180356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,51,68,650

GCF of Fractions 8/84,51/89,68/363,650/732 is 1/55180356

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8,51,68,650 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,51,68,650 By Matching Biggest Common Factor Method

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 68

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

1,2,4,17,34,68

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Greatest Common Factor

We found the factors 8,51,68,650 . The biggest common factor number is the GCF number.
So the greatest common factor 8,51,68,650 is 1.

Lets's calculate LCM of 84,89,363,732

2 84, 89, 363, 732
2 42, 89, 363, 366
3 21, 89, 363, 183
7, 89, 121, 61

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 89 x 121 x 61 = 55180356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55180356

Therefore, the GCF of Fractions 8/84,51/89,68/363,650/732 is 1/55180356

Least Common Multiple of 84,89,363,732 with GCF Formula

Least Common Multiple of 84,89,363,732 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 84,89,363,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,89,363,732) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(84,89,363,732) x common factors =1 x 36 = 36

LCM(84,89,363,732) = ( 84 × 89 × 363 × 732 ) / 36

LCM(84,89,363,732) = 1986492816 / 36

LCM(84,89,363,732) = 55180356


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 8/84, 51/89, 68/363, 650/732

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 8/84, 51/89, 68/363, 650/732?

Answer: GCF of Numerators as per given numbers 8/84, 51/89, 68/363, 650/732 is

GCF of Numerators i.e. for 8,51,68,650 is 1

LCM of denominators i.e. for 84,89,363,732 is 55180356.

Thus, GCF of Fractions is 1/55180356.Finally, GCF of Fractions for 8/84, 51/89, 68/363, 650/732 is 1/55180356.