Greatest Common Factor of 4556/894, 5560/952

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4556/894, 5560/952

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 4556/894,5560/952

Given fractions are 4556/894,5560/952

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 4556,5560

Greatest Common Factor of Numerators i.e. GCF of 4556,5560 is 4 .

LCM of Denominators means LCM of 894,952 as per the given fractions.

LCM of 894,952 is 425544 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4556,5560

GCF of Fractions 4556/894,5560/952 is 4/425544

2 4556, 5560
2 2278, 2780
1139, 1390

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

Greatest Common Factor of 4556,5560 By Matching Biggest Common Factor Method

Greatest Common Factor of 4556,5560 By Matching Biggest Common Factor Method

Factors of 4556

List of positive integer factors of 4556 that divides 4556 without a remainder.

1,2,4,17,34,67,68,134,268,1139,2278,4556

Factors of 5560

List of positive integer factors of 5560 that divides 5560 without a remainder.

1,2,4,5,8,10,20,40,139,278,556,695,1112,1390,2780,5560

Greatest Common Factor

We found the factors 4556,5560 . The biggest common factor number is the GCF number.
So the greatest common factor 4556,5560 is 4.

Lets's calculate LCM of 894,952

2 894, 952
447, 476

∴ So the LCM of the given numbers is 2 x 447 x 476 = 425544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/425544

Therefore, the GCF of Fractions 4556/894,5560/952 is 4/425544

Least Common Multiple of 894,952 with GCF Formula

Least Common Multiple of 894,952 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 894,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,952) = 2

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

GCF(894,952) x common factors =2 x 1 = 2

LCM(894,952) = ( 894 × 952 ) / 2

LCM(894,952) = 851088 / 2

LCM(894,952) = 425544


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 4556/894, 5560/952

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 4556/894, 5560/952?

Answer: GCF of Numerators as per given numbers 4556/894, 5560/952 is

GCF of Numerators i.e. for 4556,5560 is 4

LCM of denominators i.e. for 894,952 is 425544.

Thus, GCF of Fractions is 4/425544.Finally, GCF of Fractions for 4556/894, 5560/952 is 4/425544.