Greatest Common Factor of 27/401, 792/446, 126/275

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 27/401, 792/446, 126/275

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 27/401,792/446,126/275

Given fractions are 27/401,792/446,126/275

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 27,792,126

Greatest Common Factor of Numerators i.e. GCF of 27,792,126 is 9 .

LCM of Denominators means LCM of 401,446,275 as per the given fractions.

LCM of 401,446,275 is 49182650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 27,792,126

GCF of Fractions 27/401,792/446,126/275 is 9/49182650

3 27, 792, 126
3 9, 264, 42
3, 88, 14

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 27,792,126 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,792,126 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

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

Greatest Common Factor

We found the factors 27,792,126 . The biggest common factor number is the GCF number.
So the greatest common factor 27,792,126 is 9.

Lets's calculate LCM of 401,446,275

Given numbers has no common factors except 1. So, there LCM is their product i.e 49182650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/49182650

Therefore, the GCF of Fractions 27/401,792/446,126/275 is 9/49182650

Least Common Multiple of 401,446,275 with GCF Formula

Least Common Multiple of 401,446,275 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 401,446,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(401,446,275) = 1

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

GCF(401,446,275) x common factors =1 x 1 = 1

LCM(401,446,275) = ( 401 × 446 × 275 ) / 1

LCM(401,446,275) = 49182650 / 1

LCM(401,446,275) = 49182650


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 27/401, 792/446, 126/275

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 27/401, 792/446, 126/275?

Answer: GCF of Numerators as per given numbers 27/401, 792/446, 126/275 is

GCF of Numerators i.e. for 27,792,126 is 9

LCM of denominators i.e. for 401,446,275 is 49182650.

Thus, GCF of Fractions is 9/49182650.Finally, GCF of Fractions for 27/401, 792/446, 126/275 is 9/49182650.