Greatest Common Factor of 72/29, 12/777, 682/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/29, 12/777, 682/847

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 72/29,12/777,682/847

Given fractions are 72/29,12/777,682/847

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 72,12,682

Greatest Common Factor of Numerators i.e. GCF of 72,12,682 is 2 .

LCM of Denominators means LCM of 29,777,847 as per the given fractions.

LCM of 29,777,847 is 2726493 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,12,682

GCF of Fractions 72/29,12/777,682/847 is 2/2726493

2 72, 12, 682
36, 6, 341

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 72,12,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,12,682 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 72,12,682 . The biggest common factor number is the GCF number.
So the greatest common factor 72,12,682 is 2.

Lets's calculate LCM of 29,777,847

7 29, 777, 847
29, 111, 121

∴ So the LCM of the given numbers is 7 x 29 x 111 x 121 = 2726493

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2726493

Therefore, the GCF of Fractions 72/29,12/777,682/847 is 2/2726493

Least Common Multiple of 29,777,847 with GCF Formula

Least Common Multiple of 29,777,847 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 29,777,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,777,847) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(29,777,847) x common factors =1 x 7 = 7

LCM(29,777,847) = ( 29 × 777 × 847 ) / 7

LCM(29,777,847) = 19085451 / 7

LCM(29,777,847) = 2726493


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 72/29, 12/777, 682/847

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 72/29, 12/777, 682/847?

Answer: GCF of Numerators as per given numbers 72/29, 12/777, 682/847 is

GCF of Numerators i.e. for 72,12,682 is 2

LCM of denominators i.e. for 29,777,847 is 2726493.

Thus, GCF of Fractions is 2/2726493.Finally, GCF of Fractions for 72/29, 12/777, 682/847 is 2/2726493.