Greatest Common Factor of 4757/72, 5585/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4757/72, 5585/254

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 4757/72,5585/254

Given fractions are 4757/72,5585/254

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 4757,5585

Greatest Common Factor of Numerators i.e. GCF of 4757,5585 is 1 .

LCM of Denominators means LCM of 72,254 as per the given fractions.

LCM of 72,254 is 9144 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4757,5585

GCF of Fractions 4757/72,5585/254 is 1/9144

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

Greatest Common Factor of 4757,5585 By Matching Biggest Common Factor Method

Greatest Common Factor of 4757,5585 By Matching Biggest Common Factor Method

Factors of 4757

List of positive integer factors of 4757 that divides 4757 without a remainder.

1,67,71,4757

Factors of 5585

List of positive integer factors of 5585 that divides 5585 without a remainder.

1,5,1117,5585

Greatest Common Factor

We found the factors 4757,5585 . The biggest common factor number is the GCF number.
So the greatest common factor 4757,5585 is 1.

Lets's calculate LCM of 72,254

2 72, 254
36, 127

∴ So the LCM of the given numbers is 2 x 36 x 127 = 9144

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9144

Therefore, the GCF of Fractions 4757/72,5585/254 is 1/9144

Least Common Multiple of 72,254 with GCF Formula

Least Common Multiple of 72,254 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 72,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,254) = 2

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

GCF(72,254) x common factors =2 x 1 = 2

LCM(72,254) = ( 72 × 254 ) / 2

LCM(72,254) = 18288 / 2

LCM(72,254) = 9144


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 4757/72, 5585/254

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 4757/72, 5585/254?

Answer: GCF of Numerators as per given numbers 4757/72, 5585/254 is

GCF of Numerators i.e. for 4757,5585 is 1

LCM of denominators i.e. for 72,254 is 9144.

Thus, GCF of Fractions is 1/9144.Finally, GCF of Fractions for 4757/72, 5585/254 is 1/9144.