Greatest Common Factor of 65/391, 945/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/391, 945/905

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 65/391,945/905

Given fractions are 65/391,945/905

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 65,945

Greatest Common Factor of Numerators i.e. GCF of 65,945 is 5 .

LCM of Denominators means LCM of 391,905 as per the given fractions.

LCM of 391,905 is 353855 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,945

GCF of Fractions 65/391,945/905 is 5/353855

5 65, 945
13, 189

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

Greatest Common Factor of 65,945 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,945 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 945

List of positive integer factors of 945 that divides 945 without a remainder.

1,3,5,7,9,15,21,27,35,45,63,105,135,189,315,945

Greatest Common Factor

We found the factors 65,945 . The biggest common factor number is the GCF number.
So the greatest common factor 65,945 is 5.

Lets's calculate LCM of 391,905

Given numbers has no common factors except 1. So, there LCM is their product i.e 353855

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/353855

Therefore, the GCF of Fractions 65/391,945/905 is 5/353855

Least Common Multiple of 391,905 with GCF Formula

Least Common Multiple of 391,905 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 391,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,905) = 1

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

GCF(391,905) x common factors =1 x 1 = 1

LCM(391,905) = ( 391 × 905 ) / 1

LCM(391,905) = 353855 / 1

LCM(391,905) = 353855


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 65/391, 945/905

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 65/391, 945/905?

Answer: GCF of Numerators as per given numbers 65/391, 945/905 is

GCF of Numerators i.e. for 65,945 is 5

LCM of denominators i.e. for 391,905 is 353855.

Thus, GCF of Fractions is 5/353855.Finally, GCF of Fractions for 65/391, 945/905 is 5/353855.