Greatest Common Factor of 6475/544, 8218/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6475/544, 8218/565

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 6475/544,8218/565

Given fractions are 6475/544,8218/565

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 6475,8218

Greatest Common Factor of Numerators i.e. GCF of 6475,8218 is 7 .

LCM of Denominators means LCM of 544,565 as per the given fractions.

LCM of 544,565 is 307360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6475,8218

GCF of Fractions 6475/544,8218/565 is 7/307360

7 6475, 8218
925, 1174

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 6475,8218 By Matching Biggest Common Factor Method

Greatest Common Factor of 6475,8218 By Matching Biggest Common Factor Method

Factors of 6475

List of positive integer factors of 6475 that divides 6475 without a remainder.

1,5,7,25,35,37,175,185,259,925,1295,6475

Factors of 8218

List of positive integer factors of 8218 that divides 8218 without a remainder.

1,2,7,14,587,1174,4109,8218

Greatest Common Factor

We found the factors 6475,8218 . The biggest common factor number is the GCF number.
So the greatest common factor 6475,8218 is 7.

Lets's calculate LCM of 544,565

Given numbers has no common factors except 1. So, there LCM is their product i.e 307360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/307360

Therefore, the GCF of Fractions 6475/544,8218/565 is 7/307360

Least Common Multiple of 544,565 with GCF Formula

Least Common Multiple of 544,565 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 544,565 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(544,565) = 1

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

GCF(544,565) x common factors =1 x 1 = 1

LCM(544,565) = ( 544 × 565 ) / 1

LCM(544,565) = 307360 / 1

LCM(544,565) = 307360


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 6475/544, 8218/565

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 6475/544, 8218/565?

Answer: GCF of Numerators as per given numbers 6475/544, 8218/565 is

GCF of Numerators i.e. for 6475,8218 is 7

LCM of denominators i.e. for 544,565 is 307360.

Thus, GCF of Fractions is 7/307360.Finally, GCF of Fractions for 6475/544, 8218/565 is 7/307360.