Greatest Common Factor of 558/622, 735/294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 558/622, 735/294

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 558/622,735/294

Given fractions are 558/622,735/294

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 558,735

Greatest Common Factor of Numerators i.e. GCF of 558,735 is 3 .

LCM of Denominators means LCM of 622,294 as per the given fractions.

LCM of 622,294 is 91434 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 558,735

GCF of Fractions 558/622,735/294 is 3/91434

3 558, 735
186, 245

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

Greatest Common Factor of 558,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 558,735 By Matching Biggest Common Factor Method

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 558,735 . The biggest common factor number is the GCF number.
So the greatest common factor 558,735 is 3.

Lets's calculate LCM of 622,294

2 622, 294
311, 147

∴ So the LCM of the given numbers is 2 x 311 x 147 = 91434

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/91434

Therefore, the GCF of Fractions 558/622,735/294 is 3/91434

Least Common Multiple of 622,294 with GCF Formula

Least Common Multiple of 622,294 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 622,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,294) = 2

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

GCF(622,294) x common factors =2 x 1 = 2

LCM(622,294) = ( 622 × 294 ) / 2

LCM(622,294) = 182868 / 2

LCM(622,294) = 91434


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 558/622, 735/294

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 558/622, 735/294?

Answer: GCF of Numerators as per given numbers 558/622, 735/294 is

GCF of Numerators i.e. for 558,735 is 3

LCM of denominators i.e. for 622,294 is 91434.

Thus, GCF of Fractions is 3/91434.Finally, GCF of Fractions for 558/622, 735/294 is 3/91434.