Greatest Common Factor of 4873/55, 8926/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4873/55, 8926/150

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 4873/55,8926/150

Given fractions are 4873/55,8926/150

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 4873,8926

Greatest Common Factor of Numerators i.e. GCF of 4873,8926 is 1 .

LCM of Denominators means LCM of 55,150 as per the given fractions.

LCM of 55,150 is 1650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4873,8926

GCF of Fractions 4873/55,8926/150 is 1/1650

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4873,8926 By Matching Biggest Common Factor Method

Greatest Common Factor of 4873,8926 By Matching Biggest Common Factor Method

Factors of 4873

List of positive integer factors of 4873 that divides 4873 without a remainder.

1,11,443,4873

Factors of 8926

List of positive integer factors of 8926 that divides 8926 without a remainder.

1,2,4463,8926

Greatest Common Factor

We found the factors 4873,8926 . The biggest common factor number is the GCF number.
So the greatest common factor 4873,8926 is 1.

Lets's calculate LCM of 55,150

5 55, 150
11, 30

∴ So the LCM of the given numbers is 5 x 11 x 30 = 1650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1650

Therefore, the GCF of Fractions 4873/55,8926/150 is 1/1650

Least Common Multiple of 55,150 with GCF Formula

Least Common Multiple of 55,150 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 55,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,150) = 5

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

GCF(55,150) x common factors =5 x 1 = 5

LCM(55,150) = ( 55 × 150 ) / 5

LCM(55,150) = 8250 / 5

LCM(55,150) = 1650


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 4873/55, 8926/150

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 4873/55, 8926/150?

Answer: GCF of Numerators as per given numbers 4873/55, 8926/150 is

GCF of Numerators i.e. for 4873,8926 is 1

LCM of denominators i.e. for 55,150 is 1650.

Thus, GCF of Fractions is 1/1650.Finally, GCF of Fractions for 4873/55, 8926/150 is 1/1650.