Greatest Common Factor of 556/17, 278/25, 470/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 556/17, 278/25, 470/250

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 556/17,278/25,470/250

Given fractions are 556/17,278/25,470/250

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 556,278,470

Greatest Common Factor of Numerators i.e. GCF of 556,278,470 is 2 .

LCM of Denominators means LCM of 17,25,250 as per the given fractions.

LCM of 17,25,250 is 4250 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 556,278,470

GCF of Fractions 556/17,278/25,470/250 is 2/4250

2 556, 278, 470
278, 139, 235

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

Greatest Common Factor of 556,278,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 556,278,470 By Matching Biggest Common Factor Method

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 556,278,470 . The biggest common factor number is the GCF number.
So the greatest common factor 556,278,470 is 2.

Lets's calculate LCM of 17,25,250

5 17, 25, 250
5 17, 5, 50
17, 1, 10

∴ So the LCM of the given numbers is 5 x 5 x 17 x 1 x 10 = 4250

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4250

Therefore, the GCF of Fractions 556/17,278/25,470/250 is 2/4250

Least Common Multiple of 17,25,250 with GCF Formula

Least Common Multiple of 17,25,250 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 17,25,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,25,250) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(17,25,250) x common factors =1 x 25 = 25

LCM(17,25,250) = ( 17 × 25 × 250 ) / 25

LCM(17,25,250) = 106250 / 25

LCM(17,25,250) = 4250


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 556/17, 278/25, 470/250

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 556/17, 278/25, 470/250?

Answer: GCF of Numerators as per given numbers 556/17, 278/25, 470/250 is

GCF of Numerators i.e. for 556,278,470 is 2

LCM of denominators i.e. for 17,25,250 is 4250.

Thus, GCF of Fractions is 2/4250.Finally, GCF of Fractions for 556/17, 278/25, 470/250 is 2/4250.