Greatest Common Factor of 65/71, 33/230, 336/970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/71, 33/230, 336/970

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 65/71,33/230,336/970

Given fractions are 65/71,33/230,336/970

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 65,33,336

Greatest Common Factor of Numerators i.e. GCF of 65,33,336 is 1 .

LCM of Denominators means LCM of 71,230,970 as per the given fractions.

LCM of 71,230,970 is 1584010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,33,336

GCF of Fractions 65/71,33/230,336/970 is 1/1584010

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

Greatest Common Factor of 65,33,336 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,33,336 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 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 336

List of positive integer factors of 336 that divides 336 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336

Greatest Common Factor

We found the factors 65,33,336 . The biggest common factor number is the GCF number.
So the greatest common factor 65,33,336 is 1.

Lets's calculate LCM of 71,230,970

2 71, 230, 970
5 71, 115, 485
71, 23, 97

∴ So the LCM of the given numbers is 2 x 5 x 71 x 23 x 97 = 1584010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1584010

Therefore, the GCF of Fractions 65/71,33/230,336/970 is 1/1584010

Least Common Multiple of 71,230,970 with GCF Formula

Least Common Multiple of 71,230,970 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 71,230,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,230,970) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(71,230,970) x common factors =1 x 10 = 10

LCM(71,230,970) = ( 71 × 230 × 970 ) / 10

LCM(71,230,970) = 15840100 / 10

LCM(71,230,970) = 1584010


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 65/71, 33/230, 336/970

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 65/71, 33/230, 336/970?

Answer: GCF of Numerators as per given numbers 65/71, 33/230, 336/970 is

GCF of Numerators i.e. for 65,33,336 is 1

LCM of denominators i.e. for 71,230,970 is 1584010.

Thus, GCF of Fractions is 1/1584010.Finally, GCF of Fractions for 65/71, 33/230, 336/970 is 1/1584010.