Greatest Common Factor of 84/271, 38/419, 132/552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/271, 38/419, 132/552

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 84/271,38/419,132/552

Given fractions are 84/271,38/419,132/552

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 84,38,132

Greatest Common Factor of Numerators i.e. GCF of 84,38,132 is 2 .

LCM of Denominators means LCM of 271,419,552 as per the given fractions.

LCM of 271,419,552 is 62679048 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,38,132

GCF of Fractions 84/271,38/419,132/552 is 2/62679048

2 84, 38, 132
42, 19, 66

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 84,38,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,38,132 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 84,38,132 . The biggest common factor number is the GCF number.
So the greatest common factor 84,38,132 is 2.

Lets's calculate LCM of 271,419,552

Given numbers has no common factors except 1. So, there LCM is their product i.e 62679048

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/62679048

Therefore, the GCF of Fractions 84/271,38/419,132/552 is 2/62679048

Least Common Multiple of 271,419,552 with GCF Formula

Least Common Multiple of 271,419,552 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 271,419,552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(271,419,552) = 1

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

GCF(271,419,552) x common factors =1 x 1 = 1

LCM(271,419,552) = ( 271 × 419 × 552 ) / 1

LCM(271,419,552) = 62679048 / 1

LCM(271,419,552) = 62679048


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 84/271, 38/419, 132/552

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 84/271, 38/419, 132/552?

Answer: GCF of Numerators as per given numbers 84/271, 38/419, 132/552 is

GCF of Numerators i.e. for 84,38,132 is 2

LCM of denominators i.e. for 271,419,552 is 62679048.

Thus, GCF of Fractions is 2/62679048.Finally, GCF of Fractions for 84/271, 38/419, 132/552 is 2/62679048.