Greatest Common Factor of 126/20, 707/39, 175/41

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 126/20, 707/39, 175/41

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 126/20,707/39,175/41

Given fractions are 126/20,707/39,175/41

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 126,707,175

Greatest Common Factor of Numerators i.e. GCF of 126,707,175 is 7 .

LCM of Denominators means LCM of 20,39,41 as per the given fractions.

LCM of 20,39,41 is 31980 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 126,707,175

GCF of Fractions 126/20,707/39,175/41 is 7/31980

7 126, 707, 175
18, 101, 25

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 126,707,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 126,707,175 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 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 126,707,175 . The biggest common factor number is the GCF number.
So the greatest common factor 126,707,175 is 7.

Lets's calculate LCM of 20,39,41

Given numbers has no common factors except 1. So, there LCM is their product i.e 31980

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/31980

Therefore, the GCF of Fractions 126/20,707/39,175/41 is 7/31980

Least Common Multiple of 20,39,41 with GCF Formula

Least Common Multiple of 20,39,41 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 20,39,41 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,39,41) = 1

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

GCF(20,39,41) x common factors =1 x 1 = 1

LCM(20,39,41) = ( 20 × 39 × 41 ) / 1

LCM(20,39,41) = 31980 / 1

LCM(20,39,41) = 31980


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 126/20, 707/39, 175/41

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 126/20, 707/39, 175/41?

Answer: GCF of Numerators as per given numbers 126/20, 707/39, 175/41 is

GCF of Numerators i.e. for 126,707,175 is 7

LCM of denominators i.e. for 20,39,41 is 31980.

Thus, GCF of Fractions is 7/31980.Finally, GCF of Fractions for 126/20, 707/39, 175/41 is 7/31980.