Greatest Common Factor of 7387/415, 1531/835

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7387/415, 1531/835

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 7387/415,1531/835

Given fractions are 7387/415,1531/835

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 7387,1531

Greatest Common Factor of Numerators i.e. GCF of 7387,1531 is 1 .

LCM of Denominators means LCM of 415,835 as per the given fractions.

LCM of 415,835 is 69305 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7387,1531

GCF of Fractions 7387/415,1531/835 is 1/69305

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

Greatest Common Factor of 7387,1531 By Matching Biggest Common Factor Method

Greatest Common Factor of 7387,1531 By Matching Biggest Common Factor Method

Factors of 7387

List of positive integer factors of 7387 that divides 7387 without a remainder.

1,83,89,7387

Factors of 1531

List of positive integer factors of 1531 that divides 1531 without a remainder.

1,1531

Greatest Common Factor

We found the factors 7387,1531 . The biggest common factor number is the GCF number.
So the greatest common factor 7387,1531 is 1.

Lets's calculate LCM of 415,835

5 415, 835
83, 167

∴ So the LCM of the given numbers is 5 x 83 x 167 = 69305

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69305

Therefore, the GCF of Fractions 7387/415,1531/835 is 1/69305

Least Common Multiple of 415,835 with GCF Formula

Least Common Multiple of 415,835 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 415,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(415,835) = 5

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

GCF(415,835) x common factors =5 x 1 = 5

LCM(415,835) = ( 415 × 835 ) / 5

LCM(415,835) = 346525 / 5

LCM(415,835) = 69305


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 7387/415, 1531/835

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 7387/415, 1531/835?

Answer: GCF of Numerators as per given numbers 7387/415, 1531/835 is

GCF of Numerators i.e. for 7387,1531 is 1

LCM of denominators i.e. for 415,835 is 69305.

Thus, GCF of Fractions is 1/69305.Finally, GCF of Fractions for 7387/415, 1531/835 is 1/69305.