Greatest Common Factor of 2387/84, 1540/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2387/84, 1540/715

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 2387/84,1540/715

Given fractions are 2387/84,1540/715

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 2387,1540

Greatest Common Factor of Numerators i.e. GCF of 2387,1540 is 77 .

LCM of Denominators means LCM of 84,715 as per the given fractions.

LCM of 84,715 is 60060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2387,1540

GCF of Fractions 2387/84,1540/715 is 77/60060

7 2387, 1540
11 341, 220
31, 20

∴ So the GCF of the given numbers is 7 x 11 = 77

Greatest Common Factor of 2387,1540 By Matching Biggest Common Factor Method

Greatest Common Factor of 2387,1540 By Matching Biggest Common Factor Method

Factors of 2387

List of positive integer factors of 2387 that divides 2387 without a remainder.

1,7,11,31,77,217,341,2387

Factors of 1540

List of positive integer factors of 1540 that divides 1540 without a remainder.

1,2,4,5,7,10,11,14,20,22,28,35,44,55,70,77,110,140,154,220,308,385,770,1540

Greatest Common Factor

We found the factors 2387,1540 . The biggest common factor number is the GCF number.
So the greatest common factor 2387,1540 is 77.

Lets's calculate LCM of 84,715

Given numbers has no common factors except 1. So, there LCM is their product i.e 60060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 77/60060

Therefore, the GCF of Fractions 2387/84,1540/715 is 77/60060

Least Common Multiple of 84,715 with GCF Formula

Least Common Multiple of 84,715 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 84,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,715) = 1

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

GCF(84,715) x common factors =1 x 1 = 1

LCM(84,715) = ( 84 × 715 ) / 1

LCM(84,715) = 60060 / 1

LCM(84,715) = 60060


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 2387/84, 1540/715

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 2387/84, 1540/715?

Answer: GCF of Numerators as per given numbers 2387/84, 1540/715 is

GCF of Numerators i.e. for 2387,1540 is 77

LCM of denominators i.e. for 84,715 is 60060.

Thus, GCF of Fractions is 77/60060.Finally, GCF of Fractions for 2387/84, 1540/715 is 77/60060.