Greatest Common Factor of 621/68, 846/90, 498/72

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 621/68, 846/90, 498/72

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 621/68,846/90,498/72

Given fractions are 621/68,846/90,498/72

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 621,846,498

Greatest Common Factor of Numerators i.e. GCF of 621,846,498 is 3 .

LCM of Denominators means LCM of 68,90,72 as per the given fractions.

LCM of 68,90,72 is 6120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 621,846,498

GCF of Fractions 621/68,846/90,498/72 is 3/6120

3 621, 846, 498
207, 282, 166

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

Greatest Common Factor of 621,846,498 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,846,498 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1,2,3,6,83,166,249,498

Greatest Common Factor

We found the factors 621,846,498 . The biggest common factor number is the GCF number.
So the greatest common factor 621,846,498 is 3.

Lets's calculate LCM of 68,90,72

2 68, 90, 72
2 34, 45, 36
3 17, 45, 18
3 17, 15, 6
17, 5, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 5 x 2 = 6120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/6120

Therefore, the GCF of Fractions 621/68,846/90,498/72 is 3/6120

Least Common Multiple of 68,90,72 with GCF Formula

Least Common Multiple of 68,90,72 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 68,90,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,90,72) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(68,90,72) x common factors =2 x 36 = 72

LCM(68,90,72) = ( 68 × 90 × 72 ) / 72

LCM(68,90,72) = 440640 / 72

LCM(68,90,72) = 6120


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 621/68, 846/90, 498/72

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 621/68, 846/90, 498/72?

Answer: GCF of Numerators as per given numbers 621/68, 846/90, 498/72 is

GCF of Numerators i.e. for 621,846,498 is 3

LCM of denominators i.e. for 68,90,72 is 6120.

Thus, GCF of Fractions is 3/6120.Finally, GCF of Fractions for 621/68, 846/90, 498/72 is 3/6120.