Greatest Common Factor of 576/58, 496/207

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 576/58, 496/207

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 576/58,496/207

Given fractions are 576/58,496/207

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 576,496

Greatest Common Factor of Numerators i.e. GCF of 576,496 is 16 .

LCM of Denominators means LCM of 58,207 as per the given fractions.

LCM of 58,207 is 12006 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 576,496

GCF of Fractions 576/58,496/207 is 16/12006

2 576, 496
2 288, 248
2 144, 124
2 72, 62
36, 31

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 576,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,496 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 576,496 . The biggest common factor number is the GCF number.
So the greatest common factor 576,496 is 16.

Lets's calculate LCM of 58,207

Given numbers has no common factors except 1. So, there LCM is their product i.e 12006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/12006

Therefore, the GCF of Fractions 576/58,496/207 is 16/12006

Least Common Multiple of 58,207 with GCF Formula

Least Common Multiple of 58,207 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 58,207 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,207) = 1

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

GCF(58,207) x common factors =1 x 1 = 1

LCM(58,207) = ( 58 × 207 ) / 1

LCM(58,207) = 12006 / 1

LCM(58,207) = 12006


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 576/58, 496/207

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 576/58, 496/207?

Answer: GCF of Numerators as per given numbers 576/58, 496/207 is

GCF of Numerators i.e. for 576,496 is 16

LCM of denominators i.e. for 58,207 is 12006.

Thus, GCF of Fractions is 16/12006.Finally, GCF of Fractions for 576/58, 496/207 is 16/12006.