Greatest Common Factor of 72/914, 33/899, 277/742

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/914, 33/899, 277/742

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 72/914,33/899,277/742

Given fractions are 72/914,33/899,277/742

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 72,33,277

Greatest Common Factor of Numerators i.e. GCF of 72,33,277 is 1 .

LCM of Denominators means LCM of 914,899,742 as per the given fractions.

LCM of 914,899,742 is 304845506 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,33,277

GCF of Fractions 72/914,33/899,277/742 is 1/304845506

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

Greatest Common Factor of 72,33,277 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,33,277 By Matching Biggest Common Factor Method

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 33

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

1,3,11,33

Factors of 277

List of positive integer factors of 277 that divides 277 without a remainder.

1,277

Greatest Common Factor

We found the factors 72,33,277 . The biggest common factor number is the GCF number.
So the greatest common factor 72,33,277 is 1.

Lets's calculate LCM of 914,899,742

2 914, 899, 742
457, 899, 371

∴ So the LCM of the given numbers is 2 x 457 x 899 x 371 = 304845506

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/304845506

Therefore, the GCF of Fractions 72/914,33/899,277/742 is 1/304845506

Least Common Multiple of 914,899,742 with GCF Formula

Least Common Multiple of 914,899,742 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 914,899,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(914,899,742) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(914,899,742) x common factors =1 x 2 = 2

LCM(914,899,742) = ( 914 × 899 × 742 ) / 2

LCM(914,899,742) = 609691012 / 2

LCM(914,899,742) = 304845506


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 72/914, 33/899, 277/742

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 72/914, 33/899, 277/742?

Answer: GCF of Numerators as per given numbers 72/914, 33/899, 277/742 is

GCF of Numerators i.e. for 72,33,277 is 1

LCM of denominators i.e. for 914,899,742 is 304845506.

Thus, GCF of Fractions is 1/304845506.Finally, GCF of Fractions for 72/914, 33/899, 277/742 is 1/304845506.