Greatest Common Factor of 546/70, 354/27, 172/25

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/70, 354/27, 172/25

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 546/70,354/27,172/25

Given fractions are 546/70,354/27,172/25

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 546,354,172

Greatest Common Factor of Numerators i.e. GCF of 546,354,172 is 2 .

LCM of Denominators means LCM of 70,27,25 as per the given fractions.

LCM of 70,27,25 is 9450 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,354,172

GCF of Fractions 546/70,354/27,172/25 is 2/9450

2 546, 354, 172
273, 177, 86

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

Greatest Common Factor of 546,354,172 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,354,172 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Factors of 172

List of positive integer factors of 172 that divides 172 without a remainder.

1,2,4,43,86,172

Greatest Common Factor

We found the factors 546,354,172 . The biggest common factor number is the GCF number.
So the greatest common factor 546,354,172 is 2.

Lets's calculate LCM of 70,27,25

5 70, 27, 25
14, 27, 5

∴ So the LCM of the given numbers is 5 x 14 x 27 x 5 = 9450

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9450

Therefore, the GCF of Fractions 546/70,354/27,172/25 is 2/9450

Least Common Multiple of 70,27,25 with GCF Formula

Least Common Multiple of 70,27,25 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 70,27,25 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,27,25) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(70,27,25) x common factors =1 x 5 = 5

LCM(70,27,25) = ( 70 × 27 × 25 ) / 5

LCM(70,27,25) = 47250 / 5

LCM(70,27,25) = 9450


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 546/70, 354/27, 172/25

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 546/70, 354/27, 172/25?

Answer: GCF of Numerators as per given numbers 546/70, 354/27, 172/25 is

GCF of Numerators i.e. for 546,354,172 is 2

LCM of denominators i.e. for 70,27,25 is 9450.

Thus, GCF of Fractions is 2/9450.Finally, GCF of Fractions for 546/70, 354/27, 172/25 is 2/9450.