Greatest Common Factor of 552/212, 375/215, 581/980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 552/212, 375/215, 581/980

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 552/212,375/215,581/980

Given fractions are 552/212,375/215,581/980

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 552,375,581

Greatest Common Factor of Numerators i.e. GCF of 552,375,581 is 1 .

LCM of Denominators means LCM of 212,215,980 as per the given fractions.

LCM of 212,215,980 is 2233420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 552,375,581

GCF of Fractions 552/212,375/215,581/980 is 1/2233420

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

Greatest Common Factor of 552,375,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 552,375,581 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 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 581

List of positive integer factors of 581 that divides 581 without a remainder.

1,7,83,581

Greatest Common Factor

We found the factors 552,375,581 . The biggest common factor number is the GCF number.
So the greatest common factor 552,375,581 is 1.

Lets's calculate LCM of 212,215,980

2 212, 215, 980
2 106, 215, 490
5 53, 215, 245
53, 43, 49

∴ So the LCM of the given numbers is 2 x 2 x 5 x 53 x 43 x 49 = 2233420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2233420

Therefore, the GCF of Fractions 552/212,375/215,581/980 is 1/2233420

Least Common Multiple of 212,215,980 with GCF Formula

Least Common Multiple of 212,215,980 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 212,215,980 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,215,980) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(212,215,980) x common factors =1 x 20 = 20

LCM(212,215,980) = ( 212 × 215 × 980 ) / 20

LCM(212,215,980) = 44668400 / 20

LCM(212,215,980) = 2233420


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 552/212, 375/215, 581/980

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 552/212, 375/215, 581/980?

Answer: GCF of Numerators as per given numbers 552/212, 375/215, 581/980 is

GCF of Numerators i.e. for 552,375,581 is 1

LCM of denominators i.e. for 212,215,980 is 2233420.

Thus, GCF of Fractions is 1/2233420.Finally, GCF of Fractions for 552/212, 375/215, 581/980 is 1/2233420.