Greatest Common Factor of 406/825, 3614/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 406/825, 3614/655

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 406/825,3614/655

Given fractions are 406/825,3614/655

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 406,3614

Greatest Common Factor of Numerators i.e. GCF of 406,3614 is 2 .

LCM of Denominators means LCM of 825,655 as per the given fractions.

LCM of 825,655 is 108075 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 406,3614

GCF of Fractions 406/825,3614/655 is 2/108075

2 406, 3614
203, 1807

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 406,3614 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,3614 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

Factors of 3614

List of positive integer factors of 3614 that divides 3614 without a remainder.

1,2,13,26,139,278,1807,3614

Greatest Common Factor

We found the factors 406,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 406,3614 is 2.

Lets's calculate LCM of 825,655

5 825, 655
165, 131

∴ So the LCM of the given numbers is 5 x 165 x 131 = 108075

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108075

Therefore, the GCF of Fractions 406/825,3614/655 is 2/108075

Least Common Multiple of 825,655 with GCF Formula

Least Common Multiple of 825,655 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 825,655 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(825,655) = 5

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

GCF(825,655) x common factors =5 x 1 = 5

LCM(825,655) = ( 825 × 655 ) / 5

LCM(825,655) = 540375 / 5

LCM(825,655) = 108075


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 406/825, 3614/655

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 406/825, 3614/655?

Answer: GCF of Numerators as per given numbers 406/825, 3614/655 is

GCF of Numerators i.e. for 406,3614 is 2

LCM of denominators i.e. for 825,655 is 108075.

Thus, GCF of Fractions is 2/108075.Finally, GCF of Fractions for 406/825, 3614/655 is 2/108075.