Greatest Common Factor of 6651/53, 8520/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6651/53, 8520/819

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 6651/53,8520/819

Given fractions are 6651/53,8520/819

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 6651,8520

Greatest Common Factor of Numerators i.e. GCF of 6651,8520 is 3 .

LCM of Denominators means LCM of 53,819 as per the given fractions.

LCM of 53,819 is 43407 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6651,8520

GCF of Fractions 6651/53,8520/819 is 3/43407

3 6651, 8520
2217, 2840

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

Greatest Common Factor of 6651,8520 By Matching Biggest Common Factor Method

Greatest Common Factor of 6651,8520 By Matching Biggest Common Factor Method

Factors of 6651

List of positive integer factors of 6651 that divides 6651 without a remainder.

1,3,9,739,2217,6651

Factors of 8520

List of positive integer factors of 8520 that divides 8520 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,71,120,142,213,284,355,426,568,710,852,1065,1420,1704,2130,2840,4260,8520

Greatest Common Factor

We found the factors 6651,8520 . The biggest common factor number is the GCF number.
So the greatest common factor 6651,8520 is 3.

Lets's calculate LCM of 53,819

Given numbers has no common factors except 1. So, there LCM is their product i.e 43407

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/43407

Therefore, the GCF of Fractions 6651/53,8520/819 is 3/43407

Least Common Multiple of 53,819 with GCF Formula

Least Common Multiple of 53,819 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 53,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,819) = 1

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

GCF(53,819) x common factors =1 x 1 = 1

LCM(53,819) = ( 53 × 819 ) / 1

LCM(53,819) = 43407 / 1

LCM(53,819) = 43407


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 6651/53, 8520/819

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 6651/53, 8520/819?

Answer: GCF of Numerators as per given numbers 6651/53, 8520/819 is

GCF of Numerators i.e. for 6651,8520 is 3

LCM of denominators i.e. for 53,819 is 43407.

Thus, GCF of Fractions is 3/43407.Finally, GCF of Fractions for 6651/53, 8520/819 is 3/43407.