Greatest Common Factor of 65/34, 105/61, 322/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/34, 105/61, 322/993

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 65/34,105/61,322/993

Given fractions are 65/34,105/61,322/993

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 65,105,322

Greatest Common Factor of Numerators i.e. GCF of 65,105,322 is 1 .

LCM of Denominators means LCM of 34,61,993 as per the given fractions.

LCM of 34,61,993 is 2059482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,105,322

GCF of Fractions 65/34,105/61,322/993 is 1/2059482

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

Greatest Common Factor of 65,105,322 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,105,322 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 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Greatest Common Factor

We found the factors 65,105,322 . The biggest common factor number is the GCF number.
So the greatest common factor 65,105,322 is 1.

Lets's calculate LCM of 34,61,993

Given numbers has no common factors except 1. So, there LCM is their product i.e 2059482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2059482

Therefore, the GCF of Fractions 65/34,105/61,322/993 is 1/2059482

Least Common Multiple of 34,61,993 with GCF Formula

Least Common Multiple of 34,61,993 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 34,61,993 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,61,993) = 1

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

GCF(34,61,993) x common factors =1 x 1 = 1

LCM(34,61,993) = ( 34 × 61 × 993 ) / 1

LCM(34,61,993) = 2059482 / 1

LCM(34,61,993) = 2059482


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 65/34, 105/61, 322/993

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 65/34, 105/61, 322/993?

Answer: GCF of Numerators as per given numbers 65/34, 105/61, 322/993 is

GCF of Numerators i.e. for 65,105,322 is 1

LCM of denominators i.e. for 34,61,993 is 2059482.

Thus, GCF of Fractions is 1/2059482.Finally, GCF of Fractions for 65/34, 105/61, 322/993 is 1/2059482.