Greatest Common Factor of 5811/48, 4680/695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5811/48, 4680/695

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 5811/48,4680/695

Given fractions are 5811/48,4680/695

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 5811,4680

Greatest Common Factor of Numerators i.e. GCF of 5811,4680 is 39 .

LCM of Denominators means LCM of 48,695 as per the given fractions.

LCM of 48,695 is 33360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5811,4680

GCF of Fractions 5811/48,4680/695 is 39/33360

3 5811, 4680
13 1937, 1560
149, 120

∴ So the GCF of the given numbers is 3 x 13 = 39

Greatest Common Factor of 5811,4680 By Matching Biggest Common Factor Method

Greatest Common Factor of 5811,4680 By Matching Biggest Common Factor Method

Factors of 5811

List of positive integer factors of 5811 that divides 5811 without a remainder.

1,3,13,39,149,447,1937,5811

Factors of 4680

List of positive integer factors of 4680 that divides 4680 without a remainder.

1,2,3,4,5,6,8,9,10,12,13,15,18,20,24,26,30,36,39,40,45,52,60,65,72,78,90,104,117,120,130,156,180,195,234,260,312,360,390,468,520,585,780,936,1170,1560,2340,4680

Greatest Common Factor

We found the factors 5811,4680 . The biggest common factor number is the GCF number.
So the greatest common factor 5811,4680 is 39.

Lets's calculate LCM of 48,695

Given numbers has no common factors except 1. So, there LCM is their product i.e 33360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 39/33360

Therefore, the GCF of Fractions 5811/48,4680/695 is 39/33360

Least Common Multiple of 48,695 with GCF Formula

Least Common Multiple of 48,695 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 48,695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,695) = 1

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

GCF(48,695) x common factors =1 x 1 = 1

LCM(48,695) = ( 48 × 695 ) / 1

LCM(48,695) = 33360 / 1

LCM(48,695) = 33360


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 5811/48, 4680/695

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 5811/48, 4680/695?

Answer: GCF of Numerators as per given numbers 5811/48, 4680/695 is

GCF of Numerators i.e. for 5811,4680 is 39

LCM of denominators i.e. for 48,695 is 33360.

Thus, GCF of Fractions is 39/33360.Finally, GCF of Fractions for 5811/48, 4680/695 is 39/33360.