Greatest Common Factor of 126/17, 924/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 126/17, 924/109

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 126/17,924/109

Given fractions are 126/17,924/109

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 126,924

Greatest Common Factor of Numerators i.e. GCF of 126,924 is 42 .

LCM of Denominators means LCM of 17,109 as per the given fractions.

LCM of 17,109 is 1853 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 126,924

GCF of Fractions 126/17,924/109 is 42/1853

2 126, 924
3 63, 462
7 21, 154
3, 22

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 126,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,924 By Matching Biggest Common Factor Method

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 126,924 . The biggest common factor number is the GCF number.
So the greatest common factor 126,924 is 42.

Lets's calculate LCM of 17,109

Given numbers has no common factors except 1. So, there LCM is their product i.e 1853

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/1853

Therefore, the GCF of Fractions 126/17,924/109 is 42/1853

Least Common Multiple of 17,109 with GCF Formula

Least Common Multiple of 17,109 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 17,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,109) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(17,109) x common factors =1 x 1 = 1

LCM(17,109) = ( 17 × 109 ) / 1

LCM(17,109) = 1853 / 1

LCM(17,109) = 1853


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 126/17, 924/109

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 126/17, 924/109?

Answer: GCF of Numerators as per given numbers 126/17, 924/109 is

GCF of Numerators i.e. for 126,924 is 42

LCM of denominators i.e. for 17,109 is 1853.

Thus, GCF of Fractions is 42/1853.Finally, GCF of Fractions for 126/17, 924/109 is 42/1853.