Greatest Common Factor of 628/55, 124/43, 556/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 628/55, 124/43, 556/61

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 628/55,124/43,556/61

Given fractions are 628/55,124/43,556/61

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 628,124,556

Greatest Common Factor of Numerators i.e. GCF of 628,124,556 is 4 .

LCM of Denominators means LCM of 55,43,61 as per the given fractions.

LCM of 55,43,61 is 144265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 628,124,556

GCF of Fractions 628/55,124/43,556/61 is 4/144265

2 628, 124, 556
2 314, 62, 278
157, 31, 139

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 628,124,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,124,556 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Factors of 556

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

1,2,4,139,278,556

Greatest Common Factor

We found the factors 628,124,556 . The biggest common factor number is the GCF number.
So the greatest common factor 628,124,556 is 4.


Lets's calculate LCM of 55,43,61

Given numbers has no common factors except 1. So, there LCM is their product i.e 144265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/144265

Therefore, the GCF of Fractions 628/55,124/43,556/61 is 4/144265

Least Common Multiple of 55,43,61 with GCF Formula

Least Common Multiple of 55,43,61 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 55,43,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,43,61) = 1

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

GCF(55,43,61) x common factors =1 x 1 = 1

LCM(55,43,61) = ( 55 × 43 × 61 ) / 1

LCM(55,43,61) = 144265 / 1

LCM(55,43,61) = 144265


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 628/55, 124/43, 556/61

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 628/55, 124/43, 556/61?

Answer: GCF of Numerators as per given numbers 628/55, 124/43, 556/61 is

GCF of Numerators i.e. for 628,124,556 is 4

LCM of denominators i.e. for 55,43,61 is 144265.

Thus, GCF of Fractions is 4/144265.Finally, GCF of Fractions for 628/55, 124/43, 556/61 is 4/144265.