Greatest Common Factor of 8630/54, 1815/671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8630/54, 1815/671

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 8630/54,1815/671

Given fractions are 8630/54,1815/671

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 8630,1815

Greatest Common Factor of Numerators i.e. GCF of 8630,1815 is 5 .

LCM of Denominators means LCM of 54,671 as per the given fractions.

LCM of 54,671 is 36234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8630,1815

GCF of Fractions 8630/54,1815/671 is 5/36234

5 8630, 1815
1726, 363

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

Greatest Common Factor of 8630,1815 By Matching Biggest Common Factor Method

Greatest Common Factor of 8630,1815 By Matching Biggest Common Factor Method

Factors of 8630

List of positive integer factors of 8630 that divides 8630 without a remainder.

1,2,5,10,863,1726,4315,8630

Factors of 1815

List of positive integer factors of 1815 that divides 1815 without a remainder.

1,3,5,11,15,33,55,121,165,363,605,1815

Greatest Common Factor

We found the factors 8630,1815 . The biggest common factor number is the GCF number.
So the greatest common factor 8630,1815 is 5.

Lets's calculate LCM of 54,671

Given numbers has no common factors except 1. So, there LCM is their product i.e 36234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/36234

Therefore, the GCF of Fractions 8630/54,1815/671 is 5/36234

Least Common Multiple of 54,671 with GCF Formula

Least Common Multiple of 54,671 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 54,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,671) = 1

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

GCF(54,671) x common factors =1 x 1 = 1

LCM(54,671) = ( 54 × 671 ) / 1

LCM(54,671) = 36234 / 1

LCM(54,671) = 36234


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 8630/54, 1815/671

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 8630/54, 1815/671?

Answer: GCF of Numerators as per given numbers 8630/54, 1815/671 is

GCF of Numerators i.e. for 8630,1815 is 5

LCM of denominators i.e. for 54,671 is 36234.

Thus, GCF of Fractions is 5/36234.Finally, GCF of Fractions for 8630/54, 1815/671 is 5/36234.