Greatest Common Factor of 649/79, 356/19, 756/646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 649/79, 356/19, 756/646

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 649/79,356/19,756/646

Given fractions are 649/79,356/19,756/646

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 649,356,756

Greatest Common Factor of Numerators i.e. GCF of 649,356,756 is 1 .

LCM of Denominators means LCM of 79,19,646 as per the given fractions.

LCM of 79,19,646 is 51034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 649,356,756

GCF of Fractions 649/79,356/19,756/646 is 1/51034

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

Greatest Common Factor of 649,356,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,356,756 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 649,356,756 . The biggest common factor number is the GCF number.
So the greatest common factor 649,356,756 is 1.

Lets's calculate LCM of 79,19,646

19 79, 19, 646
79, 1, 34

∴ So the LCM of the given numbers is 19 x 79 x 1 x 34 = 51034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51034

Therefore, the GCF of Fractions 649/79,356/19,756/646 is 1/51034

Least Common Multiple of 79,19,646 with GCF Formula

Least Common Multiple of 79,19,646 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 79,19,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,19,646) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(79,19,646) x common factors =1 x 19 = 19

LCM(79,19,646) = ( 79 × 19 × 646 ) / 19

LCM(79,19,646) = 969646 / 19

LCM(79,19,646) = 51034


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 649/79, 356/19, 756/646

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 649/79, 356/19, 756/646?

Answer: GCF of Numerators as per given numbers 649/79, 356/19, 756/646 is

GCF of Numerators i.e. for 649,356,756 is 1

LCM of denominators i.e. for 79,19,646 is 51034.

Thus, GCF of Fractions is 1/51034.Finally, GCF of Fractions for 649/79, 356/19, 756/646 is 1/51034.