Greatest Common Factor of 708/146, 561/624, 315/767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/146, 561/624, 315/767

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 708/146,561/624,315/767

Given fractions are 708/146,561/624,315/767

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 708,561,315

Greatest Common Factor of Numerators i.e. GCF of 708,561,315 is 3 .

LCM of Denominators means LCM of 146,624,767 as per the given fractions.

LCM of 146,624,767 is 2687568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,561,315

GCF of Fractions 708/146,561/624,315/767 is 3/2687568

3 708, 561, 315
236, 187, 105

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

Greatest Common Factor of 708,561,315 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,561,315 By Matching Biggest Common Factor Method

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Factors of 561

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

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

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Greatest Common Factor

We found the factors 708,561,315 . The biggest common factor number is the GCF number.
So the greatest common factor 708,561,315 is 3.

Lets's calculate LCM of 146,624,767

2 146, 624, 767
13 73, 312, 767
73, 24, 59

∴ So the LCM of the given numbers is 2 x 13 x 73 x 24 x 59 = 2687568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2687568

Therefore, the GCF of Fractions 708/146,561/624,315/767 is 3/2687568

Least Common Multiple of 146,624,767 with GCF Formula

Least Common Multiple of 146,624,767 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 146,624,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(146,624,767) = 1

common factors(in case of two or more numbers have common factors) = 26

GCF(146,624,767) x common factors =1 x 26 = 26

LCM(146,624,767) = ( 146 × 624 × 767 ) / 26

LCM(146,624,767) = 69876768 / 26

LCM(146,624,767) = 2687568


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 708/146, 561/624, 315/767

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 708/146, 561/624, 315/767?

Answer: GCF of Numerators as per given numbers 708/146, 561/624, 315/767 is

GCF of Numerators i.e. for 708,561,315 is 3

LCM of denominators i.e. for 146,624,767 is 2687568.

Thus, GCF of Fractions is 3/2687568.Finally, GCF of Fractions for 708/146, 561/624, 315/767 is 3/2687568.