Greatest Common Factor of 1252/160, 4244/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1252/160, 4244/264

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 1252/160,4244/264

Given fractions are 1252/160,4244/264

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 1252,4244

Greatest Common Factor of Numerators i.e. GCF of 1252,4244 is 4 .

LCM of Denominators means LCM of 160,264 as per the given fractions.

LCM of 160,264 is 5280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1252,4244

GCF of Fractions 1252/160,4244/264 is 4/5280

2 1252, 4244
2 626, 2122
313, 1061

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

Greatest Common Factor of 1252,4244 By Matching Biggest Common Factor Method

Greatest Common Factor of 1252,4244 By Matching Biggest Common Factor Method

Factors of 1252

List of positive integer factors of 1252 that divides 1252 without a remainder.

1,2,4,313,626,1252

Factors of 4244

List of positive integer factors of 4244 that divides 4244 without a remainder.

1,2,4,1061,2122,4244

Greatest Common Factor

We found the factors 1252,4244 . The biggest common factor number is the GCF number.
So the greatest common factor 1252,4244 is 4.

Lets's calculate LCM of 160,264

2 160, 264
2 80, 132
2 40, 66
20, 33

∴ So the LCM of the given numbers is 2 x 2 x 2 x 20 x 33 = 5280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/5280

Therefore, the GCF of Fractions 1252/160,4244/264 is 4/5280

Least Common Multiple of 160,264 with GCF Formula

Least Common Multiple of 160,264 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 160,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(160,264) = 8

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

GCF(160,264) x common factors =8 x 1 = 8

LCM(160,264) = ( 160 × 264 ) / 8

LCM(160,264) = 42240 / 8

LCM(160,264) = 5280


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 1252/160, 4244/264

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 1252/160, 4244/264?

Answer: GCF of Numerators as per given numbers 1252/160, 4244/264 is

GCF of Numerators i.e. for 1252,4244 is 4

LCM of denominators i.e. for 160,264 is 5280.

Thus, GCF of Fractions is 4/5280.Finally, GCF of Fractions for 1252/160, 4244/264 is 4/5280.