Greatest Common Factor of 160/52, 1532/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 160/52, 1532/582

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 160/52,1532/582

Given fractions are 160/52,1532/582

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 160,1532

Greatest Common Factor of Numerators i.e. GCF of 160,1532 is 4 .

LCM of Denominators means LCM of 52,582 as per the given fractions.

LCM of 52,582 is 15132 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 160,1532

GCF of Fractions 160/52,1532/582 is 4/15132

2 160, 1532
2 80, 766
40, 383

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 160,1532 By Matching Biggest Common Factor Method

Greatest Common Factor of 160,1532 By Matching Biggest Common Factor Method

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Factors of 1532

List of positive integer factors of 1532 that divides 1532 without a remainder.

1,2,4,383,766,1532

Greatest Common Factor

We found the factors 160,1532 . The biggest common factor number is the GCF number.
So the greatest common factor 160,1532 is 4.

Lets's calculate LCM of 52,582

2 52, 582
26, 291

∴ So the LCM of the given numbers is 2 x 26 x 291 = 15132

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15132

Therefore, the GCF of Fractions 160/52,1532/582 is 4/15132

Least Common Multiple of 52,582 with GCF Formula

Least Common Multiple of 52,582 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 52,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,582) = 2

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

GCF(52,582) x common factors =2 x 1 = 2

LCM(52,582) = ( 52 × 582 ) / 2

LCM(52,582) = 30264 / 2

LCM(52,582) = 15132


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 160/52, 1532/582

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 160/52, 1532/582?

Answer: GCF of Numerators as per given numbers 160/52, 1532/582 is

GCF of Numerators i.e. for 160,1532 is 4

LCM of denominators i.e. for 52,582 is 15132.

Thus, GCF of Fractions is 4/15132.Finally, GCF of Fractions for 160/52, 1532/582 is 4/15132.