Greatest Common Factor of 11/72, 448/19, 616/791

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/72, 448/19, 616/791

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 11/72,448/19,616/791

Given fractions are 11/72,448/19,616/791

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 11,448,616

Greatest Common Factor of Numerators i.e. GCF of 11,448,616 is 1 .

LCM of Denominators means LCM of 72,19,791 as per the given fractions.

LCM of 72,19,791 is 1082088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,448,616

GCF of Fractions 11/72,448/19,616/791 is 1/1082088

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

Greatest Common Factor of 11,448,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,448,616 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 11,448,616 . The biggest common factor number is the GCF number.
So the greatest common factor 11,448,616 is 1.

Lets's calculate LCM of 72,19,791

Given numbers has no common factors except 1. So, there LCM is their product i.e 1082088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1082088

Therefore, the GCF of Fractions 11/72,448/19,616/791 is 1/1082088

Least Common Multiple of 72,19,791 with GCF Formula

Least Common Multiple of 72,19,791 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 72,19,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,19,791) = 1

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

GCF(72,19,791) x common factors =1 x 1 = 1

LCM(72,19,791) = ( 72 × 19 × 791 ) / 1

LCM(72,19,791) = 1082088 / 1

LCM(72,19,791) = 1082088


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 11/72, 448/19, 616/791

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 11/72, 448/19, 616/791?

Answer: GCF of Numerators as per given numbers 11/72, 448/19, 616/791 is

GCF of Numerators i.e. for 11,448,616 is 1

LCM of denominators i.e. for 72,19,791 is 1082088.

Thus, GCF of Fractions is 1/1082088.Finally, GCF of Fractions for 11/72, 448/19, 616/791 is 1/1082088.