Greatest Common Factor of 685/421, 289/181

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 685/421, 289/181

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 685/421,289/181

Given fractions are 685/421,289/181

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 685,289

Greatest Common Factor of Numerators i.e. GCF of 685,289 is 1 .

LCM of Denominators means LCM of 421,181 as per the given fractions.

LCM of 421,181 is 76201 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 685,289

GCF of Fractions 685/421,289/181 is 1/76201

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

Greatest Common Factor of 685,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,289 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 685,289 . The biggest common factor number is the GCF number.
So the greatest common factor 685,289 is 1.

Lets's calculate LCM of 421,181

Given numbers has no common factors except 1. So, there LCM is their product i.e 76201

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76201

Therefore, the GCF of Fractions 685/421,289/181 is 1/76201

Least Common Multiple of 421,181 with GCF Formula

Least Common Multiple of 421,181 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 421,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,181) = 1

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

GCF(421,181) x common factors =1 x 1 = 1

LCM(421,181) = ( 421 × 181 ) / 1

LCM(421,181) = 76201 / 1

LCM(421,181) = 76201


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 685/421, 289/181

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 685/421, 289/181?

Answer: GCF of Numerators as per given numbers 685/421, 289/181 is

GCF of Numerators i.e. for 685,289 is 1

LCM of denominators i.e. for 421,181 is 76201.

Thus, GCF of Fractions is 1/76201.Finally, GCF of Fractions for 685/421, 289/181 is 1/76201.