Greatest Common Factor of 72/492, 5308/2553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/492, 5308/2553

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 72/492,5308/2553

Given fractions are 72/492,5308/2553

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 72,5308

Greatest Common Factor of Numerators i.e. GCF of 72,5308 is 4 .

LCM of Denominators means LCM of 492,2553 as per the given fractions.

LCM of 492,2553 is 418692 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,5308

GCF of Fractions 72/492,5308/2553 is 4/418692

2 72, 5308
2 36, 2654
18, 1327

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 72,5308 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,5308 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 5308

List of positive integer factors of 5308 that divides 5308 without a remainder.

1,2,4,1327,2654,5308

Greatest Common Factor

We found the factors 72,5308 . The biggest common factor number is the GCF number.
So the greatest common factor 72,5308 is 4.

Lets's calculate LCM of 492,2553

3 492, 2553
164, 851

∴ So the LCM of the given numbers is 3 x 164 x 851 = 418692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/418692

Therefore, the GCF of Fractions 72/492,5308/2553 is 4/418692

Least Common Multiple of 492,2553 with GCF Formula

Least Common Multiple of 492,2553 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 492,2553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,2553) = 3

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

GCF(492,2553) x common factors =3 x 1 = 3

LCM(492,2553) = ( 492 × 2553 ) / 3

LCM(492,2553) = 1256076 / 3

LCM(492,2553) = 418692


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 72/492, 5308/2553

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 72/492, 5308/2553?

Answer: GCF of Numerators as per given numbers 72/492, 5308/2553 is

GCF of Numerators i.e. for 72,5308 is 4

LCM of denominators i.e. for 492,2553 is 418692.

Thus, GCF of Fractions is 4/418692.Finally, GCF of Fractions for 72/492, 5308/2553 is 4/418692.