Greatest Common Factor of 149/12, 106/78, 836/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 149/12, 106/78, 836/787

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 149/12,106/78,836/787

Given fractions are 149/12,106/78,836/787

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 149,106,836

Greatest Common Factor of Numerators i.e. GCF of 149,106,836 is 1 .

LCM of Denominators means LCM of 12,78,787 as per the given fractions.

LCM of 12,78,787 is 122772 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 149,106,836

GCF of Fractions 149/12,106/78,836/787 is 1/122772

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

Greatest Common Factor of 149,106,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 149,106,836 By Matching Biggest Common Factor Method

Factors of 149

List of positive integer factors of 149 that divides 149 without a remainder.

1,149

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 149,106,836 . The biggest common factor number is the GCF number.
So the greatest common factor 149,106,836 is 1.

Lets's calculate LCM of 12,78,787

2 12, 78, 787
3 6, 39, 787
2, 13, 787

∴ So the LCM of the given numbers is 2 x 3 x 2 x 13 x 787 = 122772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122772

Therefore, the GCF of Fractions 149/12,106/78,836/787 is 1/122772

Least Common Multiple of 12,78,787 with GCF Formula

Least Common Multiple of 12,78,787 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 12,78,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,78,787) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(12,78,787) x common factors =1 x 6 = 6

LCM(12,78,787) = ( 12 × 78 × 787 ) / 6

LCM(12,78,787) = 736632 / 6

LCM(12,78,787) = 122772


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 149/12, 106/78, 836/787

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 149/12, 106/78, 836/787?

Answer: GCF of Numerators as per given numbers 149/12, 106/78, 836/787 is

GCF of Numerators i.e. for 149,106,836 is 1

LCM of denominators i.e. for 12,78,787 is 122772.

Thus, GCF of Fractions is 1/122772.Finally, GCF of Fractions for 149/12, 106/78, 836/787 is 1/122772.