Greatest Common Factor of 8/85, 92/50, 37/760, 179/720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/85, 92/50, 37/760, 179/720

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 8/85,92/50,37/760,179/720

Given fractions are 8/85,92/50,37/760,179/720

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 8,92,37,179

Greatest Common Factor of Numerators i.e. GCF of 8,92,37,179 is 1 .

LCM of Denominators means LCM of 85,50,760,720 as per the given fractions.

LCM of 85,50,760,720 is 1162800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,92,37,179

GCF of Fractions 8/85,92/50,37/760,179/720 is 1/1162800

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

Greatest Common Factor of 8,92,37,179 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,92,37,179 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 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 179

List of positive integer factors of 179 that divides 179 without a remainder.

1,179

Greatest Common Factor

We found the factors 8,92,37,179 . The biggest common factor number is the GCF number.
So the greatest common factor 8,92,37,179 is 1.

Lets's calculate LCM of 85,50,760,720

2 85, 50, 760, 720
2 85, 25, 380, 360
2 85, 25, 190, 180
5 85, 25, 95, 90
17, 5, 19, 18

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 17 x 5 x 19 x 18 = 1162800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1162800

Therefore, the GCF of Fractions 8/85,92/50,37/760,179/720 is 1/1162800

Least Common Multiple of 85,50,760,720 with GCF Formula

Least Common Multiple of 85,50,760,720 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 85,50,760,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,50,760,720) = 5

common factors(in case of two or more numbers have common factors) = 400

GCF(85,50,760,720) x common factors =5 x 400 = 2000

LCM(85,50,760,720) = ( 85 × 50 × 760 × 720 ) / 2000

LCM(85,50,760,720) = 2325600000 / 2000

LCM(85,50,760,720) = 1162800


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 8/85, 92/50, 37/760, 179/720

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 8/85, 92/50, 37/760, 179/720?

Answer: GCF of Numerators as per given numbers 8/85, 92/50, 37/760, 179/720 is

GCF of Numerators i.e. for 8,92,37,179 is 1

LCM of denominators i.e. for 85,50,760,720 is 1162800.

Thus, GCF of Fractions is 1/1162800.Finally, GCF of Fractions for 8/85, 92/50, 37/760, 179/720 is 1/1162800.