Greatest Common Factor of 678/72, 205/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 678/72, 205/305

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 678/72,205/305

Given fractions are 678/72,205/305

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 678,205

Greatest Common Factor of Numerators i.e. GCF of 678,205 is 1 .

LCM of Denominators means LCM of 72,305 as per the given fractions.

LCM of 72,305 is 21960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 678,205

GCF of Fractions 678/72,205/305 is 1/21960

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

Greatest Common Factor of 678,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,205 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 678,205 . The biggest common factor number is the GCF number.
So the greatest common factor 678,205 is 1.

Lets's calculate LCM of 72,305

Given numbers has no common factors except 1. So, there LCM is their product i.e 21960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21960

Therefore, the GCF of Fractions 678/72,205/305 is 1/21960

Least Common Multiple of 72,305 with GCF Formula

Least Common Multiple of 72,305 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 72,305 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,305) = 1

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

GCF(72,305) x common factors =1 x 1 = 1

LCM(72,305) = ( 72 × 305 ) / 1

LCM(72,305) = 21960 / 1

LCM(72,305) = 21960


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 678/72, 205/305

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 678/72, 205/305?

Answer: GCF of Numerators as per given numbers 678/72, 205/305 is

GCF of Numerators i.e. for 678,205 is 1

LCM of denominators i.e. for 72,305 is 21960.

Thus, GCF of Fractions is 1/21960.Finally, GCF of Fractions for 678/72, 205/305 is 1/21960.