Greatest Common Factor of 552/259, 728/577, 555/176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/259, 728/577, 555/176

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 552/259,728/577,555/176

Given fractions are 552/259,728/577,555/176

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 552,728,555

Greatest Common Factor of Numerators i.e. GCF of 552,728,555 is 1 .

LCM of Denominators means LCM of 259,577,176 as per the given fractions.

LCM of 259,577,176 is 26301968 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,728,555

GCF of Fractions 552/259,728/577,555/176 is 1/26301968

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 552,728,555 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,728,555 By Matching Biggest Common Factor Method

Factors of 552

List of positive integer factors of 552 that divides 552 without a remainder.

1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Greatest Common Factor

We found the factors 552,728,555 . The biggest common factor number is the GCF number.
So the greatest common factor 552,728,555 is 1.

Lets's calculate LCM of 259,577,176

Given numbers has no common factors except 1. So, there LCM is their product i.e 26301968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26301968

Therefore, the GCF of Fractions 552/259,728/577,555/176 is 1/26301968

Least Common Multiple of 259,577,176 with GCF Formula

Least Common Multiple of 259,577,176 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 259,577,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,577,176) = 1

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

GCF(259,577,176) x common factors =1 x 1 = 1

LCM(259,577,176) = ( 259 × 577 × 176 ) / 1

LCM(259,577,176) = 26301968 / 1

LCM(259,577,176) = 26301968


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 552/259, 728/577, 555/176

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 552/259, 728/577, 555/176?

Answer: GCF of Numerators as per given numbers 552/259, 728/577, 555/176 is

GCF of Numerators i.e. for 552,728,555 is 1

LCM of denominators i.e. for 259,577,176 is 26301968.

Thus, GCF of Fractions is 1/26301968.Finally, GCF of Fractions for 552/259, 728/577, 555/176 is 1/26301968.