Greatest Common Factor of 4890/22, 8656/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4890/22, 8656/542

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 4890/22,8656/542

Given fractions are 4890/22,8656/542

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 4890,8656

Greatest Common Factor of Numerators i.e. GCF of 4890,8656 is 2 .

LCM of Denominators means LCM of 22,542 as per the given fractions.

LCM of 22,542 is 5962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4890,8656

GCF of Fractions 4890/22,8656/542 is 2/5962

2 4890, 8656
2445, 4328

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

Greatest Common Factor of 4890,8656 By Matching Biggest Common Factor Method

Greatest Common Factor of 4890,8656 By Matching Biggest Common Factor Method

Factors of 4890

List of positive integer factors of 4890 that divides 4890 without a remainder.

1,2,3,5,6,10,15,30,163,326,489,815,978,1630,2445,4890

Factors of 8656

List of positive integer factors of 8656 that divides 8656 without a remainder.

1,2,4,8,16,541,1082,2164,4328,8656

Greatest Common Factor

We found the factors 4890,8656 . The biggest common factor number is the GCF number.
So the greatest common factor 4890,8656 is 2.

Lets's calculate LCM of 22,542

2 22, 542
11, 271

∴ So the LCM of the given numbers is 2 x 11 x 271 = 5962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5962

Therefore, the GCF of Fractions 4890/22,8656/542 is 2/5962

Least Common Multiple of 22,542 with GCF Formula

Least Common Multiple of 22,542 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 22,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,542) = 2

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

GCF(22,542) x common factors =2 x 1 = 2

LCM(22,542) = ( 22 × 542 ) / 2

LCM(22,542) = 11924 / 2

LCM(22,542) = 5962


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 4890/22, 8656/542

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 4890/22, 8656/542?

Answer: GCF of Numerators as per given numbers 4890/22, 8656/542 is

GCF of Numerators i.e. for 4890,8656 is 2

LCM of denominators i.e. for 22,542 is 5962.

Thus, GCF of Fractions is 2/5962.Finally, GCF of Fractions for 4890/22, 8656/542 is 2/5962.