Greatest Common Factor of 356/366, 5712/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 356/366, 5712/594

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 356/366,5712/594

Given fractions are 356/366,5712/594

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 356,5712

Greatest Common Factor of Numerators i.e. GCF of 356,5712 is 4 .

LCM of Denominators means LCM of 366,594 as per the given fractions.

LCM of 366,594 is 36234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 356,5712

GCF of Fractions 356/366,5712/594 is 4/36234

2 356, 5712
2 178, 2856
89, 1428

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

Greatest Common Factor of 356,5712 By Matching Biggest Common Factor Method

Greatest Common Factor of 356,5712 By Matching Biggest Common Factor Method

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 5712

List of positive integer factors of 5712 that divides 5712 without a remainder.

1,2,3,4,6,7,8,12,14,16,17,21,24,28,34,42,48,51,56,68,84,102,112,119,136,168,204,238,272,336,357,408,476,714,816,952,1428,1904,2856,5712

Greatest Common Factor

We found the factors 356,5712 . The biggest common factor number is the GCF number.
So the greatest common factor 356,5712 is 4.

Lets's calculate LCM of 366,594

2 366, 594
3 183, 297
61, 99

∴ So the LCM of the given numbers is 2 x 3 x 61 x 99 = 36234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/36234

Therefore, the GCF of Fractions 356/366,5712/594 is 4/36234

Least Common Multiple of 366,594 with GCF Formula

Least Common Multiple of 366,594 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 366,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(366,594) = 6

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

GCF(366,594) x common factors =6 x 1 = 6

LCM(366,594) = ( 366 × 594 ) / 6

LCM(366,594) = 217404 / 6

LCM(366,594) = 36234


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 356/366, 5712/594

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 356/366, 5712/594?

Answer: GCF of Numerators as per given numbers 356/366, 5712/594 is

GCF of Numerators i.e. for 356,5712 is 4

LCM of denominators i.e. for 366,594 is 36234.

Thus, GCF of Fractions is 4/36234.Finally, GCF of Fractions for 356/366, 5712/594 is 4/36234.