Greatest Common Factor of 4656/43, 6759/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4656/43, 6759/355

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 4656/43,6759/355

Given fractions are 4656/43,6759/355

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 4656,6759

Greatest Common Factor of Numerators i.e. GCF of 4656,6759 is 3 .

LCM of Denominators means LCM of 43,355 as per the given fractions.

LCM of 43,355 is 15265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4656,6759

GCF of Fractions 4656/43,6759/355 is 3/15265

3 4656, 6759
1552, 2253

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

Greatest Common Factor of 4656,6759 By Matching Biggest Common Factor Method

Greatest Common Factor of 4656,6759 By Matching Biggest Common Factor Method

Factors of 4656

List of positive integer factors of 4656 that divides 4656 without a remainder.

1,2,3,4,6,8,12,16,24,48,97,194,291,388,582,776,1164,1552,2328,4656

Factors of 6759

List of positive integer factors of 6759 that divides 6759 without a remainder.

1,3,9,751,2253,6759

Greatest Common Factor

We found the factors 4656,6759 . The biggest common factor number is the GCF number.
So the greatest common factor 4656,6759 is 3.

Lets's calculate LCM of 43,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 15265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/15265

Therefore, the GCF of Fractions 4656/43,6759/355 is 3/15265

Least Common Multiple of 43,355 with GCF Formula

Least Common Multiple of 43,355 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 43,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,355) = 1

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

GCF(43,355) x common factors =1 x 1 = 1

LCM(43,355) = ( 43 × 355 ) / 1

LCM(43,355) = 15265 / 1

LCM(43,355) = 15265


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 4656/43, 6759/355

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 4656/43, 6759/355?

Answer: GCF of Numerators as per given numbers 4656/43, 6759/355 is

GCF of Numerators i.e. for 4656,6759 is 3

LCM of denominators i.e. for 43,355 is 15265.

Thus, GCF of Fractions is 3/15265.Finally, GCF of Fractions for 4656/43, 6759/355 is 3/15265.