Greatest Common Factor of 152/726, 5392/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 152/726, 5392/870

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 152/726,5392/870

Given fractions are 152/726,5392/870

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 152,5392

Greatest Common Factor of Numerators i.e. GCF of 152,5392 is 8 .

LCM of Denominators means LCM of 726,870 as per the given fractions.

LCM of 726,870 is 105270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 152,5392

GCF of Fractions 152/726,5392/870 is 8/105270

2 152, 5392
2 76, 2696
2 38, 1348
19, 674

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 152,5392 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,5392 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 5392

List of positive integer factors of 5392 that divides 5392 without a remainder.

1,2,4,8,16,337,674,1348,2696,5392

Greatest Common Factor

We found the factors 152,5392 . The biggest common factor number is the GCF number.
So the greatest common factor 152,5392 is 8.

Lets's calculate LCM of 726,870

2 726, 870
3 363, 435
121, 145

∴ So the LCM of the given numbers is 2 x 3 x 121 x 145 = 105270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/105270

Therefore, the GCF of Fractions 152/726,5392/870 is 8/105270

Least Common Multiple of 726,870 with GCF Formula

Least Common Multiple of 726,870 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 726,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,870) = 6

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

GCF(726,870) x common factors =6 x 1 = 6

LCM(726,870) = ( 726 × 870 ) / 6

LCM(726,870) = 631620 / 6

LCM(726,870) = 105270


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 152/726, 5392/870

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 152/726, 5392/870?

Answer: GCF of Numerators as per given numbers 152/726, 5392/870 is

GCF of Numerators i.e. for 152,5392 is 8

LCM of denominators i.e. for 726,870 is 105270.

Thus, GCF of Fractions is 8/105270.Finally, GCF of Fractions for 152/726, 5392/870 is 8/105270.