Greatest Common Factor of 546/32, 8489/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/32, 8489/178

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 546/32,8489/178

Given fractions are 546/32,8489/178

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 546,8489

Greatest Common Factor of Numerators i.e. GCF of 546,8489 is 13 .

LCM of Denominators means LCM of 32,178 as per the given fractions.

LCM of 32,178 is 2848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,8489

GCF of Fractions 546/32,8489/178 is 13/2848

13 546, 8489
42, 653

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 546,8489 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,8489 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 8489

List of positive integer factors of 8489 that divides 8489 without a remainder.

1,13,653,8489

Greatest Common Factor

We found the factors 546,8489 . The biggest common factor number is the GCF number.
So the greatest common factor 546,8489 is 13.

Lets's calculate LCM of 32,178

2 32, 178
16, 89

∴ So the LCM of the given numbers is 2 x 16 x 89 = 2848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/2848

Therefore, the GCF of Fractions 546/32,8489/178 is 13/2848

Least Common Multiple of 32,178 with GCF Formula

Least Common Multiple of 32,178 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 32,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,178) = 2

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

GCF(32,178) x common factors =2 x 1 = 2

LCM(32,178) = ( 32 × 178 ) / 2

LCM(32,178) = 5696 / 2

LCM(32,178) = 2848


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 546/32, 8489/178

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 546/32, 8489/178?

Answer: GCF of Numerators as per given numbers 546/32, 8489/178 is

GCF of Numerators i.e. for 546,8489 is 13

LCM of denominators i.e. for 32,178 is 2848.

Thus, GCF of Fractions is 13/2848.Finally, GCF of Fractions for 546/32, 8489/178 is 13/2848.