Greatest Common Factor of 8285/49, 8215/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8285/49, 8215/744

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 8285/49,8215/744

Given fractions are 8285/49,8215/744

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 8285,8215

Greatest Common Factor of Numerators i.e. GCF of 8285,8215 is 5 .

LCM of Denominators means LCM of 49,744 as per the given fractions.

LCM of 49,744 is 36456 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8285,8215

GCF of Fractions 8285/49,8215/744 is 5/36456

5 8285, 8215
1657, 1643

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8285,8215 By Matching Biggest Common Factor Method

Greatest Common Factor of 8285,8215 By Matching Biggest Common Factor Method

Factors of 8285

List of positive integer factors of 8285 that divides 8285 without a remainder.

1,5,1657,8285

Factors of 8215

List of positive integer factors of 8215 that divides 8215 without a remainder.

1,5,31,53,155,265,1643,8215

Greatest Common Factor

We found the factors 8285,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 8285,8215 is 5.

Lets's calculate LCM of 49,744

Given numbers has no common factors except 1. So, there LCM is their product i.e 36456

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/36456

Therefore, the GCF of Fractions 8285/49,8215/744 is 5/36456

Least Common Multiple of 49,744 with GCF Formula

Least Common Multiple of 49,744 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 49,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(49,744) = 1

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

GCF(49,744) x common factors =1 x 1 = 1

LCM(49,744) = ( 49 × 744 ) / 1

LCM(49,744) = 36456 / 1

LCM(49,744) = 36456


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 8285/49, 8215/744

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 8285/49, 8215/744?

Answer: GCF of Numerators as per given numbers 8285/49, 8215/744 is

GCF of Numerators i.e. for 8285,8215 is 5

LCM of denominators i.e. for 49,744 is 36456.

Thus, GCF of Fractions is 5/36456.Finally, GCF of Fractions for 8285/49, 8215/744 is 5/36456.