Greatest Common Factor of 4/11, 72/17, 65/768, 967/593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4/11, 72/17, 65/768, 967/593

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 4/11,72/17,65/768,967/593

Given fractions are 4/11,72/17,65/768,967/593

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 4,72,65,967

Greatest Common Factor of Numerators i.e. GCF of 4,72,65,967 is 1 .

LCM of Denominators means LCM of 11,17,768,593 as per the given fractions.

LCM of 11,17,768,593 is 85164288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4,72,65,967

GCF of Fractions 4/11,72/17,65/768,967/593 is 1/85164288

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

Greatest Common Factor of 4,72,65,967 By Matching Biggest Common Factor Method

Greatest Common Factor of 4,72,65,967 By Matching Biggest Common Factor Method

Factors of 4

List of positive integer factors of 4 that divides 4 without a remainder.

1,2,4

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 65

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

1,5,13,65

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Greatest Common Factor

We found the factors 4,72,65,967 . The biggest common factor number is the GCF number.
So the greatest common factor 4,72,65,967 is 1.

Lets's calculate LCM of 11,17,768,593

Given numbers has no common factors except 1. So, there LCM is their product i.e 85164288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85164288

Therefore, the GCF of Fractions 4/11,72/17,65/768,967/593 is 1/85164288

Least Common Multiple of 11,17,768,593 with GCF Formula

Least Common Multiple of 11,17,768,593 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 11,17,768,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,17,768,593) = 1

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

GCF(11,17,768,593) x common factors =1 x 1 = 1

LCM(11,17,768,593) = ( 11 × 17 × 768 × 593 ) / 1

LCM(11,17,768,593) = 85164288 / 1

LCM(11,17,768,593) = 85164288


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 4/11, 72/17, 65/768, 967/593

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 4/11, 72/17, 65/768, 967/593?

Answer: GCF of Numerators as per given numbers 4/11, 72/17, 65/768, 967/593 is

GCF of Numerators i.e. for 4,72,65,967 is 1

LCM of denominators i.e. for 11,17,768,593 is 85164288.

Thus, GCF of Fractions is 1/85164288.Finally, GCF of Fractions for 4/11, 72/17, 65/768, 967/593 is 1/85164288.