Greatest Common Factor of 3505/231, 3644/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3505/231, 3644/335

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 3505/231,3644/335

Given fractions are 3505/231,3644/335

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 3505,3644

Greatest Common Factor of Numerators i.e. GCF of 3505,3644 is 1 .

LCM of Denominators means LCM of 231,335 as per the given fractions.

LCM of 231,335 is 77385 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3505,3644

GCF of Fractions 3505/231,3644/335 is 1/77385

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

Greatest Common Factor of 3505,3644 By Matching Biggest Common Factor Method

Greatest Common Factor of 3505,3644 By Matching Biggest Common Factor Method

Factors of 3505

List of positive integer factors of 3505 that divides 3505 without a remainder.

1,5,701,3505

Factors of 3644

List of positive integer factors of 3644 that divides 3644 without a remainder.

1,2,4,911,1822,3644

Greatest Common Factor

We found the factors 3505,3644 . The biggest common factor number is the GCF number.
So the greatest common factor 3505,3644 is 1.

Lets's calculate LCM of 231,335

Given numbers has no common factors except 1. So, there LCM is their product i.e 77385

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/77385

Therefore, the GCF of Fractions 3505/231,3644/335 is 1/77385

Least Common Multiple of 231,335 with GCF Formula

Least Common Multiple of 231,335 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 231,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,335) = 1

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

GCF(231,335) x common factors =1 x 1 = 1

LCM(231,335) = ( 231 × 335 ) / 1

LCM(231,335) = 77385 / 1

LCM(231,335) = 77385


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 3505/231, 3644/335

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 3505/231, 3644/335?

Answer: GCF of Numerators as per given numbers 3505/231, 3644/335 is

GCF of Numerators i.e. for 3505,3644 is 1

LCM of denominators i.e. for 231,335 is 77385.

Thus, GCF of Fractions is 1/77385.Finally, GCF of Fractions for 3505/231, 3644/335 is 1/77385.