Greatest Common Factor of 546/85, 798/72, 280/99

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/85, 798/72, 280/99

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 546/85,798/72,280/99

Given fractions are 546/85,798/72,280/99

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 546,798,280

Greatest Common Factor of Numerators i.e. GCF of 546,798,280 is 14 .

LCM of Denominators means LCM of 85,72,99 as per the given fractions.

LCM of 85,72,99 is 67320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,798,280

GCF of Fractions 546/85,798/72,280/99 is 14/67320

2 546, 798, 280
7 273, 399, 140
39, 57, 20

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 546,798,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,798,280 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 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Factors of 280

List of positive integer factors of 280 that divides 280 without a remainder.

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 546,798,280 . The biggest common factor number is the GCF number.
So the greatest common factor 546,798,280 is 14.

Lets's calculate LCM of 85,72,99

3 85, 72, 99
3 85, 24, 33
85, 8, 11

∴ So the LCM of the given numbers is 3 x 3 x 85 x 8 x 11 = 67320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/67320

Therefore, the GCF of Fractions 546/85,798/72,280/99 is 14/67320

Least Common Multiple of 85,72,99 with GCF Formula

Least Common Multiple of 85,72,99 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 85,72,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,72,99) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(85,72,99) x common factors =1 x 9 = 9

LCM(85,72,99) = ( 85 × 72 × 99 ) / 9

LCM(85,72,99) = 605880 / 9

LCM(85,72,99) = 67320


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 546/85, 798/72, 280/99

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 546/85, 798/72, 280/99?

Answer: GCF of Numerators as per given numbers 546/85, 798/72, 280/99 is

GCF of Numerators i.e. for 546,798,280 is 14

LCM of denominators i.e. for 85,72,99 is 67320.

Thus, GCF of Fractions is 14/67320.Finally, GCF of Fractions for 546/85, 798/72, 280/99 is 14/67320.