Greatest Common Factor of 4252/960, 1598/4484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4252/960, 1598/4484

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 4252/960,1598/4484

Given fractions are 4252/960,1598/4484

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 4252,1598

Greatest Common Factor of Numerators i.e. GCF of 4252,1598 is 2 .

LCM of Denominators means LCM of 960,4484 as per the given fractions.

LCM of 960,4484 is 1076160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4252,1598

GCF of Fractions 4252/960,1598/4484 is 2/1076160

2 4252, 1598
2126, 799

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

Greatest Common Factor of 4252,1598 By Matching Biggest Common Factor Method

Greatest Common Factor of 4252,1598 By Matching Biggest Common Factor Method

Factors of 4252

List of positive integer factors of 4252 that divides 4252 without a remainder.

1,2,4,1063,2126,4252

Factors of 1598

List of positive integer factors of 1598 that divides 1598 without a remainder.

1,2,17,34,47,94,799,1598

Greatest Common Factor

We found the factors 4252,1598 . The biggest common factor number is the GCF number.
So the greatest common factor 4252,1598 is 2.

Lets's calculate LCM of 960,4484

2 960, 4484
2 480, 2242
240, 1121

∴ So the LCM of the given numbers is 2 x 2 x 240 x 1121 = 1076160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1076160

Therefore, the GCF of Fractions 4252/960,1598/4484 is 2/1076160

Least Common Multiple of 960,4484 with GCF Formula

Least Common Multiple of 960,4484 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 960,4484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(960,4484) = 4

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

GCF(960,4484) x common factors =4 x 1 = 4

LCM(960,4484) = ( 960 × 4484 ) / 4

LCM(960,4484) = 4304640 / 4

LCM(960,4484) = 1076160


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 4252/960, 1598/4484

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 4252/960, 1598/4484?

Answer: GCF of Numerators as per given numbers 4252/960, 1598/4484 is

GCF of Numerators i.e. for 4252,1598 is 2

LCM of denominators i.e. for 960,4484 is 1076160.

Thus, GCF of Fractions is 2/1076160.Finally, GCF of Fractions for 4252/960, 1598/4484 is 2/1076160.