Greatest Common Factor of 336/132, 5730/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 336/132, 5730/823

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 336/132,5730/823

Given fractions are 336/132,5730/823

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 336,5730

Greatest Common Factor of Numerators i.e. GCF of 336,5730 is 6 .

LCM of Denominators means LCM of 132,823 as per the given fractions.

LCM of 132,823 is 108636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 336,5730

GCF of Fractions 336/132,5730/823 is 6/108636

2 336, 5730
3 168, 2865
56, 955

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 336,5730 By Matching Biggest Common Factor Method

Greatest Common Factor of 336,5730 By Matching Biggest Common Factor Method

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Factors of 5730

List of positive integer factors of 5730 that divides 5730 without a remainder.

1,2,3,5,6,10,15,30,191,382,573,955,1146,1910,2865,5730

Greatest Common Factor

We found the factors 336,5730 . The biggest common factor number is the GCF number.
So the greatest common factor 336,5730 is 6.

Lets's calculate LCM of 132,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 108636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/108636

Therefore, the GCF of Fractions 336/132,5730/823 is 6/108636

Least Common Multiple of 132,823 with GCF Formula

Least Common Multiple of 132,823 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 132,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(132,823) = 1

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

GCF(132,823) x common factors =1 x 1 = 1

LCM(132,823) = ( 132 × 823 ) / 1

LCM(132,823) = 108636 / 1

LCM(132,823) = 108636


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 336/132, 5730/823

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 336/132, 5730/823?

Answer: GCF of Numerators as per given numbers 336/132, 5730/823 is

GCF of Numerators i.e. for 336,5730 is 6

LCM of denominators i.e. for 132,823 is 108636.

Thus, GCF of Fractions is 6/108636.Finally, GCF of Fractions for 336/132, 5730/823 is 6/108636.