Greatest Common Factor of 6285/53, 8545/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6285/53, 8545/523

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 6285/53,8545/523

Given fractions are 6285/53,8545/523

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 6285,8545

Greatest Common Factor of Numerators i.e. GCF of 6285,8545 is 5 .

LCM of Denominators means LCM of 53,523 as per the given fractions.

LCM of 53,523 is 27719 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6285,8545

GCF of Fractions 6285/53,8545/523 is 5/27719

5 6285, 8545
1257, 1709

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

Greatest Common Factor of 6285,8545 By Matching Biggest Common Factor Method

Greatest Common Factor of 6285,8545 By Matching Biggest Common Factor Method

Factors of 6285

List of positive integer factors of 6285 that divides 6285 without a remainder.

1,3,5,15,419,1257,2095,6285

Factors of 8545

List of positive integer factors of 8545 that divides 8545 without a remainder.

1,5,1709,8545

Greatest Common Factor

We found the factors 6285,8545 . The biggest common factor number is the GCF number.
So the greatest common factor 6285,8545 is 5.

Lets's calculate LCM of 53,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 27719

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/27719

Therefore, the GCF of Fractions 6285/53,8545/523 is 5/27719

Least Common Multiple of 53,523 with GCF Formula

Least Common Multiple of 53,523 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 53,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,523) = 1

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

GCF(53,523) x common factors =1 x 1 = 1

LCM(53,523) = ( 53 × 523 ) / 1

LCM(53,523) = 27719 / 1

LCM(53,523) = 27719


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 6285/53, 8545/523

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 6285/53, 8545/523?

Answer: GCF of Numerators as per given numbers 6285/53, 8545/523 is

GCF of Numerators i.e. for 6285,8545 is 5

LCM of denominators i.e. for 53,523 is 27719.

Thus, GCF of Fractions is 5/27719.Finally, GCF of Fractions for 6285/53, 8545/523 is 5/27719.