Greatest Common Factor of 8112/60, 4367/587

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8112/60, 4367/587

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 8112/60,4367/587

Given fractions are 8112/60,4367/587

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 8112,4367

Greatest Common Factor of Numerators i.e. GCF of 8112,4367 is 1 .

LCM of Denominators means LCM of 60,587 as per the given fractions.

LCM of 60,587 is 35220 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8112,4367

GCF of Fractions 8112/60,4367/587 is 1/35220

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8112,4367 By Matching Biggest Common Factor Method

Greatest Common Factor of 8112,4367 By Matching Biggest Common Factor Method

Factors of 8112

List of positive integer factors of 8112 that divides 8112 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,169,208,312,338,507,624,676,1014,1352,2028,2704,4056,8112

Factors of 4367

List of positive integer factors of 4367 that divides 4367 without a remainder.

1,11,397,4367

Greatest Common Factor

We found the factors 8112,4367 . The biggest common factor number is the GCF number.
So the greatest common factor 8112,4367 is 1.

Lets's calculate LCM of 60,587

Given numbers has no common factors except 1. So, there LCM is their product i.e 35220

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35220

Therefore, the GCF of Fractions 8112/60,4367/587 is 1/35220

Least Common Multiple of 60,587 with GCF Formula

Least Common Multiple of 60,587 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 60,587 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,587) = 1

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

GCF(60,587) x common factors =1 x 1 = 1

LCM(60,587) = ( 60 × 587 ) / 1

LCM(60,587) = 35220 / 1

LCM(60,587) = 35220


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 8112/60, 4367/587

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 8112/60, 4367/587?

Answer: GCF of Numerators as per given numbers 8112/60, 4367/587 is

GCF of Numerators i.e. for 8112,4367 is 1

LCM of denominators i.e. for 60,587 is 35220.

Thus, GCF of Fractions is 1/35220.Finally, GCF of Fractions for 8112/60, 4367/587 is 1/35220.