Greatest Common Factor of 68/462, 4544/2272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/462, 4544/2272

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 68/462,4544/2272

Given fractions are 68/462,4544/2272

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 68,4544

Greatest Common Factor of Numerators i.e. GCF of 68,4544 is 4 .

LCM of Denominators means LCM of 462,2272 as per the given fractions.

LCM of 462,2272 is 524832 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,4544

GCF of Fractions 68/462,4544/2272 is 4/524832

2 68, 4544
2 34, 2272
17, 1136

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

Greatest Common Factor of 68,4544 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,4544 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 4544

List of positive integer factors of 4544 that divides 4544 without a remainder.

1,2,4,8,16,32,64,71,142,284,568,1136,2272,4544

Greatest Common Factor

We found the factors 68,4544 . The biggest common factor number is the GCF number.
So the greatest common factor 68,4544 is 4.

Lets's calculate LCM of 462,2272

2 462, 2272
231, 1136

∴ So the LCM of the given numbers is 2 x 231 x 1136 = 524832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/524832

Therefore, the GCF of Fractions 68/462,4544/2272 is 4/524832

Least Common Multiple of 462,2272 with GCF Formula

Least Common Multiple of 462,2272 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 462,2272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,2272) = 2

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

GCF(462,2272) x common factors =2 x 1 = 2

LCM(462,2272) = ( 462 × 2272 ) / 2

LCM(462,2272) = 1049664 / 2

LCM(462,2272) = 524832


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 68/462, 4544/2272

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 68/462, 4544/2272?

Answer: GCF of Numerators as per given numbers 68/462, 4544/2272 is

GCF of Numerators i.e. for 68,4544 is 4

LCM of denominators i.e. for 462,2272 is 524832.

Thus, GCF of Fractions is 4/524832.Finally, GCF of Fractions for 68/462, 4544/2272 is 4/524832.