Greatest Common Factor of 8/52, 8/17, 90/88, 71/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8/52, 8/17, 90/88, 71/102

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 8/52,8/17,90/88,71/102

Given fractions are 8/52,8/17,90/88,71/102

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 8,8,90,71

Greatest Common Factor of Numerators i.e. GCF of 8,8,90,71 is 1 .

LCM of Denominators means LCM of 52,17,88,102 as per the given fractions.

LCM of 52,17,88,102 is 58344 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8,8,90,71

GCF of Fractions 8/52,8/17,90/88,71/102 is 1/58344

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

Greatest Common Factor of 8,8,90,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 8,8,90,71 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 8

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

1,2,4,8

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 8,8,90,71 . The biggest common factor number is the GCF number.
So the greatest common factor 8,8,90,71 is 1.

Lets's calculate LCM of 52,17,88,102

2 52, 17, 88, 102
2 26, 17, 44, 51
17 13, 17, 22, 51
13, 1, 22, 3

∴ So the LCM of the given numbers is 2 x 2 x 17 x 13 x 1 x 22 x 3 = 58344

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/58344

Therefore, the GCF of Fractions 8/52,8/17,90/88,71/102 is 1/58344

Least Common Multiple of 52,17,88,102 with GCF Formula

Least Common Multiple of 52,17,88,102 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 52,17,88,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,17,88,102) = 1

common factors(in case of two or more numbers have common factors) = 136

GCF(52,17,88,102) x common factors =1 x 136 = 136

LCM(52,17,88,102) = ( 52 × 17 × 88 × 102 ) / 136

LCM(52,17,88,102) = 7934784 / 136

LCM(52,17,88,102) = 58344


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 8/52, 8/17, 90/88, 71/102

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 8/52, 8/17, 90/88, 71/102?

Answer: GCF of Numerators as per given numbers 8/52, 8/17, 90/88, 71/102 is

GCF of Numerators i.e. for 8,8,90,71 is 1

LCM of denominators i.e. for 52,17,88,102 is 58344.

Thus, GCF of Fractions is 1/58344.Finally, GCF of Fractions for 8/52, 8/17, 90/88, 71/102 is 1/58344.