Greatest Common Factor of 8405/85, 7537/519

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8405/85, 7537/519

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 8405/85,7537/519

Given fractions are 8405/85,7537/519

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 8405,7537

Greatest Common Factor of Numerators i.e. GCF of 8405,7537 is 1 .

LCM of Denominators means LCM of 85,519 as per the given fractions.

LCM of 85,519 is 44115 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8405,7537

GCF of Fractions 8405/85,7537/519 is 1/44115

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

Greatest Common Factor of 8405,7537 By Matching Biggest Common Factor Method

Greatest Common Factor of 8405,7537 By Matching Biggest Common Factor Method

Factors of 8405

List of positive integer factors of 8405 that divides 8405 without a remainder.

1,5,41,205,1681,8405

Factors of 7537

List of positive integer factors of 7537 that divides 7537 without a remainder.

1,7537

Greatest Common Factor

We found the factors 8405,7537 . The biggest common factor number is the GCF number.
So the greatest common factor 8405,7537 is 1.

Lets's calculate LCM of 85,519

Given numbers has no common factors except 1. So, there LCM is their product i.e 44115

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44115

Therefore, the GCF of Fractions 8405/85,7537/519 is 1/44115

Least Common Multiple of 85,519 with GCF Formula

Least Common Multiple of 85,519 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 85,519 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,519) = 1

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

GCF(85,519) x common factors =1 x 1 = 1

LCM(85,519) = ( 85 × 519 ) / 1

LCM(85,519) = 44115 / 1

LCM(85,519) = 44115


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 8405/85, 7537/519

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 8405/85, 7537/519?

Answer: GCF of Numerators as per given numbers 8405/85, 7537/519 is

GCF of Numerators i.e. for 8405,7537 is 1

LCM of denominators i.e. for 85,519 is 44115.

Thus, GCF of Fractions is 1/44115.Finally, GCF of Fractions for 8405/85, 7537/519 is 1/44115.