Greatest Common Factor of 4731/54, 1561/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4731/54, 1561/800

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 4731/54,1561/800

Given fractions are 4731/54,1561/800

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 4731,1561

Greatest Common Factor of Numerators i.e. GCF of 4731,1561 is 1 .

LCM of Denominators means LCM of 54,800 as per the given fractions.

LCM of 54,800 is 21600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4731,1561

GCF of Fractions 4731/54,1561/800 is 1/21600

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

Greatest Common Factor of 4731,1561 By Matching Biggest Common Factor Method

Greatest Common Factor of 4731,1561 By Matching Biggest Common Factor Method

Factors of 4731

List of positive integer factors of 4731 that divides 4731 without a remainder.

1,3,19,57,83,249,1577,4731

Factors of 1561

List of positive integer factors of 1561 that divides 1561 without a remainder.

1,7,223,1561

Greatest Common Factor

We found the factors 4731,1561 . The biggest common factor number is the GCF number.
So the greatest common factor 4731,1561 is 1.

Lets's calculate LCM of 54,800

2 54, 800
27, 400

∴ So the LCM of the given numbers is 2 x 27 x 400 = 21600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21600

Therefore, the GCF of Fractions 4731/54,1561/800 is 1/21600

Least Common Multiple of 54,800 with GCF Formula

Least Common Multiple of 54,800 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 54,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,800) = 2

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

GCF(54,800) x common factors =2 x 1 = 2

LCM(54,800) = ( 54 × 800 ) / 2

LCM(54,800) = 43200 / 2

LCM(54,800) = 21600


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 4731/54, 1561/800

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 4731/54, 1561/800?

Answer: GCF of Numerators as per given numbers 4731/54, 1561/800 is

GCF of Numerators i.e. for 4731,1561 is 1

LCM of denominators i.e. for 54,800 is 21600.

Thus, GCF of Fractions is 1/21600.Finally, GCF of Fractions for 4731/54, 1561/800 is 1/21600.