Greatest Common Factor of 4707/672, 6643/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4707/672, 6643/724

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 4707/672,6643/724

Given fractions are 4707/672,6643/724

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 4707,6643

Greatest Common Factor of Numerators i.e. GCF of 4707,6643 is 1 .

LCM of Denominators means LCM of 672,724 as per the given fractions.

LCM of 672,724 is 121632 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4707,6643

GCF of Fractions 4707/672,6643/724 is 1/121632

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

Greatest Common Factor of 4707,6643 By Matching Biggest Common Factor Method

Greatest Common Factor of 4707,6643 By Matching Biggest Common Factor Method

Factors of 4707

List of positive integer factors of 4707 that divides 4707 without a remainder.

1,3,9,523,1569,4707

Factors of 6643

List of positive integer factors of 6643 that divides 6643 without a remainder.

1,7,13,73,91,511,949,6643

Greatest Common Factor

We found the factors 4707,6643 . The biggest common factor number is the GCF number.
So the greatest common factor 4707,6643 is 1.

Lets's calculate LCM of 672,724

2 672, 724
2 336, 362
168, 181

∴ So the LCM of the given numbers is 2 x 2 x 168 x 181 = 121632

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/121632

Therefore, the GCF of Fractions 4707/672,6643/724 is 1/121632

Least Common Multiple of 672,724 with GCF Formula

Least Common Multiple of 672,724 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 672,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,724) = 4

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

GCF(672,724) x common factors =4 x 1 = 4

LCM(672,724) = ( 672 × 724 ) / 4

LCM(672,724) = 486528 / 4

LCM(672,724) = 121632


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 4707/672, 6643/724

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 4707/672, 6643/724?

Answer: GCF of Numerators as per given numbers 4707/672, 6643/724 is

GCF of Numerators i.e. for 4707,6643 is 1

LCM of denominators i.e. for 672,724 is 121632.

Thus, GCF of Fractions is 1/121632.Finally, GCF of Fractions for 4707/672, 6643/724 is 1/121632.