Greatest Common Factor of 63/462, 561/749

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/462, 561/749

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 63/462,561/749

Given fractions are 63/462,561/749

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 63,561

Greatest Common Factor of Numerators i.e. GCF of 63,561 is 3 .

LCM of Denominators means LCM of 462,749 as per the given fractions.

LCM of 462,749 is 49434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,561

GCF of Fractions 63/462,561/749 is 3/49434

3 63, 561
21, 187

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 63,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,561 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 63,561 . The biggest common factor number is the GCF number.
So the greatest common factor 63,561 is 3.

Lets's calculate LCM of 462,749

7 462, 749
66, 107

∴ So the LCM of the given numbers is 7 x 66 x 107 = 49434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/49434

Therefore, the GCF of Fractions 63/462,561/749 is 3/49434

Least Common Multiple of 462,749 with GCF Formula

Least Common Multiple of 462,749 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 462,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,749) = 7

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

GCF(462,749) x common factors =7 x 1 = 7

LCM(462,749) = ( 462 × 749 ) / 7

LCM(462,749) = 346038 / 7

LCM(462,749) = 49434


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 63/462, 561/749

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 63/462, 561/749?

Answer: GCF of Numerators as per given numbers 63/462, 561/749 is

GCF of Numerators i.e. for 63,561 is 3

LCM of denominators i.e. for 462,749 is 49434.

Thus, GCF of Fractions is 3/49434.Finally, GCF of Fractions for 63/462, 561/749 is 3/49434.