Greatest Common Factor of 7487/237, 8784/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7487/237, 8784/465

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 7487/237,8784/465

Given fractions are 7487/237,8784/465

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 7487,8784

Greatest Common Factor of Numerators i.e. GCF of 7487,8784 is 1 .

LCM of Denominators means LCM of 237,465 as per the given fractions.

LCM of 237,465 is 36735 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7487,8784

GCF of Fractions 7487/237,8784/465 is 1/36735

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

Greatest Common Factor of 7487,8784 By Matching Biggest Common Factor Method

Greatest Common Factor of 7487,8784 By Matching Biggest Common Factor Method

Factors of 7487

List of positive integer factors of 7487 that divides 7487 without a remainder.

1,7487

Factors of 8784

List of positive integer factors of 8784 that divides 8784 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,61,72,122,144,183,244,366,488,549,732,976,1098,1464,2196,2928,4392,8784

Greatest Common Factor

We found the factors 7487,8784 . The biggest common factor number is the GCF number.
So the greatest common factor 7487,8784 is 1.

Lets's calculate LCM of 237,465

3 237, 465
79, 155

∴ So the LCM of the given numbers is 3 x 79 x 155 = 36735

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36735

Therefore, the GCF of Fractions 7487/237,8784/465 is 1/36735

Least Common Multiple of 237,465 with GCF Formula

Least Common Multiple of 237,465 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 237,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(237,465) = 3

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

GCF(237,465) x common factors =3 x 1 = 3

LCM(237,465) = ( 237 × 465 ) / 3

LCM(237,465) = 110205 / 3

LCM(237,465) = 36735


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 7487/237, 8784/465

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 7487/237, 8784/465?

Answer: GCF of Numerators as per given numbers 7487/237, 8784/465 is

GCF of Numerators i.e. for 7487,8784 is 1

LCM of denominators i.e. for 237,465 is 36735.

Thus, GCF of Fractions is 1/36735.Finally, GCF of Fractions for 7487/237, 8784/465 is 1/36735.