Greatest Common Factor of 62/54, 224/72, 492/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 62/54, 224/72, 492/335

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 62/54,224/72,492/335

Given fractions are 62/54,224/72,492/335

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 62,224,492

Greatest Common Factor of Numerators i.e. GCF of 62,224,492 is 2 .

LCM of Denominators means LCM of 54,72,335 as per the given fractions.

LCM of 54,72,335 is 72360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 62,224,492

GCF of Fractions 62/54,224/72,492/335 is 2/72360

2 62, 224, 492
31, 112, 246

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

Greatest Common Factor of 62,224,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 62,224,492 By Matching Biggest Common Factor Method

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 62,224,492 . The biggest common factor number is the GCF number.
So the greatest common factor 62,224,492 is 2.

Lets's calculate LCM of 54,72,335

2 54, 72, 335
3 27, 36, 335
3 9, 12, 335
3, 4, 335

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 4 x 335 = 72360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/72360

Therefore, the GCF of Fractions 62/54,224/72,492/335 is 2/72360

Least Common Multiple of 54,72,335 with GCF Formula

Least Common Multiple of 54,72,335 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 54,72,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,72,335) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(54,72,335) x common factors =1 x 18 = 18

LCM(54,72,335) = ( 54 × 72 × 335 ) / 18

LCM(54,72,335) = 1302480 / 18

LCM(54,72,335) = 72360


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 62/54, 224/72, 492/335

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 62/54, 224/72, 492/335?

Answer: GCF of Numerators as per given numbers 62/54, 224/72, 492/335 is

GCF of Numerators i.e. for 62,224,492 is 2

LCM of denominators i.e. for 54,72,335 is 72360.

Thus, GCF of Fractions is 2/72360.Finally, GCF of Fractions for 62/54, 224/72, 492/335 is 2/72360.