Greatest Common Factor of 335/363, 414/629

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 335/363, 414/629

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 335/363,414/629

Given fractions are 335/363,414/629

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 335,414

Greatest Common Factor of Numerators i.e. GCF of 335,414 is 1 .

LCM of Denominators means LCM of 363,629 as per the given fractions.

LCM of 363,629 is 228327 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 335,414

GCF of Fractions 335/363,414/629 is 1/228327

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

Greatest Common Factor of 335,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 335,414 By Matching Biggest Common Factor Method

Factors of 335

List of positive integer factors of 335 that divides 335 without a remainder.

1,5,67,335

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 335,414 . The biggest common factor number is the GCF number.
So the greatest common factor 335,414 is 1.

Lets's calculate LCM of 363,629

Given numbers has no common factors except 1. So, there LCM is their product i.e 228327

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/228327

Therefore, the GCF of Fractions 335/363,414/629 is 1/228327

Least Common Multiple of 363,629 with GCF Formula

Least Common Multiple of 363,629 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 363,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,629) = 1

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

GCF(363,629) x common factors =1 x 1 = 1

LCM(363,629) = ( 363 × 629 ) / 1

LCM(363,629) = 228327 / 1

LCM(363,629) = 228327


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 335/363, 414/629

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 335/363, 414/629?

Answer: GCF of Numerators as per given numbers 335/363, 414/629 is

GCF of Numerators i.e. for 335,414 is 1

LCM of denominators i.e. for 363,629 is 228327.

Thus, GCF of Fractions is 1/228327.Finally, GCF of Fractions for 335/363, 414/629 is 1/228327.