Greatest Common Factor of 4555/584, 4826/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4555/584, 4826/724

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 4555/584,4826/724

Given fractions are 4555/584,4826/724

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 4555,4826

Greatest Common Factor of Numerators i.e. GCF of 4555,4826 is 1 .

LCM of Denominators means LCM of 584,724 as per the given fractions.

LCM of 584,724 is 105704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4555,4826

GCF of Fractions 4555/584,4826/724 is 1/105704

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

Greatest Common Factor of 4555,4826 By Matching Biggest Common Factor Method

Greatest Common Factor of 4555,4826 By Matching Biggest Common Factor Method

Factors of 4555

List of positive integer factors of 4555 that divides 4555 without a remainder.

1,5,911,4555

Factors of 4826

List of positive integer factors of 4826 that divides 4826 without a remainder.

1,2,19,38,127,254,2413,4826

Greatest Common Factor

We found the factors 4555,4826 . The biggest common factor number is the GCF number.
So the greatest common factor 4555,4826 is 1.

Lets's calculate LCM of 584,724

2 584, 724
2 292, 362
146, 181

∴ So the LCM of the given numbers is 2 x 2 x 146 x 181 = 105704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105704

Therefore, the GCF of Fractions 4555/584,4826/724 is 1/105704

Least Common Multiple of 584,724 with GCF Formula

Least Common Multiple of 584,724 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 584,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,724) = 4

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

GCF(584,724) x common factors =4 x 1 = 4

LCM(584,724) = ( 584 × 724 ) / 4

LCM(584,724) = 422816 / 4

LCM(584,724) = 105704


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 4555/584, 4826/724

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 4555/584, 4826/724?

Answer: GCF of Numerators as per given numbers 4555/584, 4826/724 is

GCF of Numerators i.e. for 4555,4826 is 1

LCM of denominators i.e. for 584,724 is 105704.

Thus, GCF of Fractions is 1/105704.Finally, GCF of Fractions for 4555/584, 4826/724 is 1/105704.