Greatest Common Factor of 8380/999, 7815/5629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8380/999, 7815/5629

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 8380/999,7815/5629

Given fractions are 8380/999,7815/5629

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 8380,7815

Greatest Common Factor of Numerators i.e. GCF of 8380,7815 is 5 .

LCM of Denominators means LCM of 999,5629 as per the given fractions.

LCM of 999,5629 is 5623371 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8380,7815

GCF of Fractions 8380/999,7815/5629 is 5/5623371

5 8380, 7815
1676, 1563

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8380,7815 By Matching Biggest Common Factor Method

Greatest Common Factor of 8380,7815 By Matching Biggest Common Factor Method

Factors of 8380

List of positive integer factors of 8380 that divides 8380 without a remainder.

1,2,4,5,10,20,419,838,1676,2095,4190,8380

Factors of 7815

List of positive integer factors of 7815 that divides 7815 without a remainder.

1,3,5,15,521,1563,2605,7815

Greatest Common Factor

We found the factors 8380,7815 . The biggest common factor number is the GCF number.
So the greatest common factor 8380,7815 is 5.

Lets's calculate LCM of 999,5629

Given numbers has no common factors except 1. So, there LCM is their product i.e 5623371

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/5623371

Therefore, the GCF of Fractions 8380/999,7815/5629 is 5/5623371

Least Common Multiple of 999,5629 with GCF Formula

Least Common Multiple of 999,5629 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 999,5629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,5629) = 1

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

GCF(999,5629) x common factors =1 x 1 = 1

LCM(999,5629) = ( 999 × 5629 ) / 1

LCM(999,5629) = 5623371 / 1

LCM(999,5629) = 5623371


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 8380/999, 7815/5629

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 8380/999, 7815/5629?

Answer: GCF of Numerators as per given numbers 8380/999, 7815/5629 is

GCF of Numerators i.e. for 8380,7815 is 5

LCM of denominators i.e. for 999,5629 is 5623371.

Thus, GCF of Fractions is 5/5623371.Finally, GCF of Fractions for 8380/999, 7815/5629 is 5/5623371.