Greatest Common Factor of 70/71, 88/78, 86/93, 52/598

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/71, 88/78, 86/93, 52/598

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 70/71,88/78,86/93,52/598

Given fractions are 70/71,88/78,86/93,52/598

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 70,88,86,52

Greatest Common Factor of Numerators i.e. GCF of 70,88,86,52 is 2 .

LCM of Denominators means LCM of 71,78,93,598 as per the given fractions.

LCM of 71,78,93,598 is 3948594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,88,86,52

GCF of Fractions 70/71,88/78,86/93,52/598 is 2/3948594

2 70, 88, 86, 52
35, 44, 43, 26

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

Greatest Common Factor of 70,88,86,52 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,88,86,52 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Greatest Common Factor

We found the factors 70,88,86,52 . The biggest common factor number is the GCF number.
So the greatest common factor 70,88,86,52 is 2.

Lets's calculate LCM of 71,78,93,598

2 71, 78, 93, 598
3 71, 39, 93, 299
13 71, 13, 31, 299
71, 1, 31, 23

∴ So the LCM of the given numbers is 2 x 3 x 13 x 71 x 1 x 31 x 23 = 3948594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3948594

Therefore, the GCF of Fractions 70/71,88/78,86/93,52/598 is 2/3948594

Least Common Multiple of 71,78,93,598 with GCF Formula

Least Common Multiple of 71,78,93,598 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 71,78,93,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,78,93,598) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(71,78,93,598) x common factors =1 x 78 = 78

LCM(71,78,93,598) = ( 71 × 78 × 93 × 598 ) / 78

LCM(71,78,93,598) = 307990332 / 78

LCM(71,78,93,598) = 3948594


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 70/71, 88/78, 86/93, 52/598

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 70/71, 88/78, 86/93, 52/598?

Answer: GCF of Numerators as per given numbers 70/71, 88/78, 86/93, 52/598 is

GCF of Numerators i.e. for 70,88,86,52 is 2

LCM of denominators i.e. for 71,78,93,598 is 3948594.

Thus, GCF of Fractions is 2/3948594.Finally, GCF of Fractions for 70/71, 88/78, 86/93, 52/598 is 2/3948594.