Greatest Common Factor of 708/215, 807/712, 813/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 708/215, 807/712, 813/646

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 708/215,807/712,813/646

Given fractions are 708/215,807/712,813/646

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 708,807,813

Greatest Common Factor of Numerators i.e. GCF of 708,807,813 is 3 .

LCM of Denominators means LCM of 215,712,646 as per the given fractions.

LCM of 215,712,646 is 49444840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 708,807,813

GCF of Fractions 708/215,807/712,813/646 is 3/49444840

3 708, 807, 813
236, 269, 271

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

Greatest Common Factor of 708,807,813 By Matching Biggest Common Factor Method

Greatest Common Factor of 708,807,813 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 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Greatest Common Factor

We found the factors 708,807,813 . The biggest common factor number is the GCF number.
So the greatest common factor 708,807,813 is 3.

Lets's calculate LCM of 215,712,646

2 215, 712, 646
215, 356, 323

∴ So the LCM of the given numbers is 2 x 215 x 356 x 323 = 49444840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/49444840

Therefore, the GCF of Fractions 708/215,807/712,813/646 is 3/49444840

Least Common Multiple of 215,712,646 with GCF Formula

Least Common Multiple of 215,712,646 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 215,712,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(215,712,646) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(215,712,646) x common factors =1 x 2 = 2

LCM(215,712,646) = ( 215 × 712 × 646 ) / 2

LCM(215,712,646) = 98889680 / 2

LCM(215,712,646) = 49444840


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 708/215, 807/712, 813/646

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 708/215, 807/712, 813/646?

Answer: GCF of Numerators as per given numbers 708/215, 807/712, 813/646 is

GCF of Numerators i.e. for 708,807,813 is 3

LCM of denominators i.e. for 215,712,646 is 49444840.

Thus, GCF of Fractions is 3/49444840.Finally, GCF of Fractions for 708/215, 807/712, 813/646 is 3/49444840.