Greatest Common Factor of 675/55, 321/49, 206/527

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 675/55, 321/49, 206/527

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 675/55,321/49,206/527

Given fractions are 675/55,321/49,206/527

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 675,321,206

Greatest Common Factor of Numerators i.e. GCF of 675,321,206 is 1 .

LCM of Denominators means LCM of 55,49,527 as per the given fractions.

LCM of 55,49,527 is 1420265 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 675,321,206

GCF of Fractions 675/55,321/49,206/527 is 1/1420265

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

Greatest Common Factor of 675,321,206 By Matching Biggest Common Factor Method

Greatest Common Factor of 675,321,206 By Matching Biggest Common Factor Method

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Factors of 206

List of positive integer factors of 206 that divides 206 without a remainder.

1,2,103,206

Greatest Common Factor

We found the factors 675,321,206 . The biggest common factor number is the GCF number.
So the greatest common factor 675,321,206 is 1.

Lets's calculate LCM of 55,49,527

Given numbers has no common factors except 1. So, there LCM is their product i.e 1420265

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1420265

Therefore, the GCF of Fractions 675/55,321/49,206/527 is 1/1420265

Least Common Multiple of 55,49,527 with GCF Formula

Least Common Multiple of 55,49,527 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 55,49,527 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,49,527) = 1

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

GCF(55,49,527) x common factors =1 x 1 = 1

LCM(55,49,527) = ( 55 × 49 × 527 ) / 1

LCM(55,49,527) = 1420265 / 1

LCM(55,49,527) = 1420265


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 675/55, 321/49, 206/527

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 675/55, 321/49, 206/527?

Answer: GCF of Numerators as per given numbers 675/55, 321/49, 206/527 is

GCF of Numerators i.e. for 675,321,206 is 1

LCM of denominators i.e. for 55,49,527 is 1420265.

Thus, GCF of Fractions is 1/1420265.Finally, GCF of Fractions for 675/55, 321/49, 206/527 is 1/1420265.