Greatest Common Factor of 4304/576, 2622/101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4304/576, 2622/101

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 4304/576,2622/101

Given fractions are 4304/576,2622/101

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 4304,2622

Greatest Common Factor of Numerators i.e. GCF of 4304,2622 is 2 .

LCM of Denominators means LCM of 576,101 as per the given fractions.

LCM of 576,101 is 58176 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4304,2622

GCF of Fractions 4304/576,2622/101 is 2/58176

2 4304, 2622
2152, 1311

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

Greatest Common Factor of 4304,2622 By Matching Biggest Common Factor Method

Greatest Common Factor of 4304,2622 By Matching Biggest Common Factor Method

Factors of 4304

List of positive integer factors of 4304 that divides 4304 without a remainder.

1,2,4,8,16,269,538,1076,2152,4304

Factors of 2622

List of positive integer factors of 2622 that divides 2622 without a remainder.

1,2,3,6,19,23,38,46,57,69,114,138,437,874,1311,2622

Greatest Common Factor

We found the factors 4304,2622 . The biggest common factor number is the GCF number.
So the greatest common factor 4304,2622 is 2.

Lets's calculate LCM of 576,101

Given numbers has no common factors except 1. So, there LCM is their product i.e 58176

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58176

Therefore, the GCF of Fractions 4304/576,2622/101 is 2/58176

Least Common Multiple of 576,101 with GCF Formula

Least Common Multiple of 576,101 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 576,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,101) = 1

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

GCF(576,101) x common factors =1 x 1 = 1

LCM(576,101) = ( 576 × 101 ) / 1

LCM(576,101) = 58176 / 1

LCM(576,101) = 58176


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 4304/576, 2622/101

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 4304/576, 2622/101?

Answer: GCF of Numerators as per given numbers 4304/576, 2622/101 is

GCF of Numerators i.e. for 4304,2622 is 2

LCM of denominators i.e. for 576,101 is 58176.

Thus, GCF of Fractions is 2/58176.Finally, GCF of Fractions for 4304/576, 2622/101 is 2/58176.