Greatest Common Factor of 655/421, 2065/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 655/421, 2065/406

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 655/421,2065/406

Given fractions are 655/421,2065/406

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 655,2065

Greatest Common Factor of Numerators i.e. GCF of 655,2065 is 5 .

LCM of Denominators means LCM of 421,406 as per the given fractions.

LCM of 421,406 is 170926 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 655,2065

GCF of Fractions 655/421,2065/406 is 5/170926

5 655, 2065
131, 413

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

Greatest Common Factor of 655,2065 By Matching Biggest Common Factor Method

Greatest Common Factor of 655,2065 By Matching Biggest Common Factor Method

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 2065

List of positive integer factors of 2065 that divides 2065 without a remainder.

1,5,7,35,59,295,413,2065

Greatest Common Factor

We found the factors 655,2065 . The biggest common factor number is the GCF number.
So the greatest common factor 655,2065 is 5.

Lets's calculate LCM of 421,406

Given numbers has no common factors except 1. So, there LCM is their product i.e 170926

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/170926

Therefore, the GCF of Fractions 655/421,2065/406 is 5/170926

Least Common Multiple of 421,406 with GCF Formula

Least Common Multiple of 421,406 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 421,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,406) = 1

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

GCF(421,406) x common factors =1 x 1 = 1

LCM(421,406) = ( 421 × 406 ) / 1

LCM(421,406) = 170926 / 1

LCM(421,406) = 170926


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 655/421, 2065/406

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 655/421, 2065/406?

Answer: GCF of Numerators as per given numbers 655/421, 2065/406 is

GCF of Numerators i.e. for 655,2065 is 5

LCM of denominators i.e. for 421,406 is 170926.

Thus, GCF of Fractions is 5/170926.Finally, GCF of Fractions for 655/421, 2065/406 is 5/170926.