Greatest Common Factor of 4656/81, 6860/315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4656/81, 6860/315

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 4656/81,6860/315

Given fractions are 4656/81,6860/315

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 4656,6860

Greatest Common Factor of Numerators i.e. GCF of 4656,6860 is 4 .

LCM of Denominators means LCM of 81,315 as per the given fractions.

LCM of 81,315 is 2835 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4656,6860

GCF of Fractions 4656/81,6860/315 is 4/2835

2 4656, 6860
2 2328, 3430
1164, 1715

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

Greatest Common Factor of 4656,6860 By Matching Biggest Common Factor Method

Greatest Common Factor of 4656,6860 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 6860

List of positive integer factors of 6860 that divides 6860 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,343,490,686,980,1372,1715,3430,6860

Greatest Common Factor

We found the factors 4656,6860 . The biggest common factor number is the GCF number.
So the greatest common factor 4656,6860 is 4.

Lets's calculate LCM of 81,315

3 81, 315
3 27, 105
9, 35

∴ So the LCM of the given numbers is 3 x 3 x 9 x 35 = 2835

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2835

Therefore, the GCF of Fractions 4656/81,6860/315 is 4/2835

Least Common Multiple of 81,315 with GCF Formula

Least Common Multiple of 81,315 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 81,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,315) = 9

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

GCF(81,315) x common factors =9 x 1 = 9

LCM(81,315) = ( 81 × 315 ) / 9

LCM(81,315) = 25515 / 9

LCM(81,315) = 2835


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 4656/81, 6860/315

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 4656/81, 6860/315?

Answer: GCF of Numerators as per given numbers 4656/81, 6860/315 is

GCF of Numerators i.e. for 4656,6860 is 4

LCM of denominators i.e. for 81,315 is 2835.

Thus, GCF of Fractions is 4/2835.Finally, GCF of Fractions for 4656/81, 6860/315 is 4/2835.