Greatest Common Factor of 552/373, 855/590, 438/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/373, 855/590, 438/517

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 552/373,855/590,438/517

Given fractions are 552/373,855/590,438/517

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 552,855,438

Greatest Common Factor of Numerators i.e. GCF of 552,855,438 is 3 .

LCM of Denominators means LCM of 373,590,517 as per the given fractions.

LCM of 373,590,517 is 113776190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,855,438

GCF of Fractions 552/373,855/590,438/517 is 3/113776190

3 552, 855, 438
184, 285, 146

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 552,855,438 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,855,438 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 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Greatest Common Factor

We found the factors 552,855,438 . The biggest common factor number is the GCF number.
So the greatest common factor 552,855,438 is 3.

Lets's calculate LCM of 373,590,517

Given numbers has no common factors except 1. So, there LCM is their product i.e 113776190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/113776190

Therefore, the GCF of Fractions 552/373,855/590,438/517 is 3/113776190

Least Common Multiple of 373,590,517 with GCF Formula

Least Common Multiple of 373,590,517 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 373,590,517 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,590,517) = 1

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

GCF(373,590,517) x common factors =1 x 1 = 1

LCM(373,590,517) = ( 373 × 590 × 517 ) / 1

LCM(373,590,517) = 113776190 / 1

LCM(373,590,517) = 113776190


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 552/373, 855/590, 438/517

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 552/373, 855/590, 438/517?

Answer: GCF of Numerators as per given numbers 552/373, 855/590, 438/517 is

GCF of Numerators i.e. for 552,855,438 is 3

LCM of denominators i.e. for 373,590,517 is 113776190.

Thus, GCF of Fractions is 3/113776190.Finally, GCF of Fractions for 552/373, 855/590, 438/517 is 3/113776190.