Greatest Common Factor of 906/28, 792/73, 420/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 906/28, 792/73, 420/723

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 906/28,792/73,420/723

Given fractions are 906/28,792/73,420/723

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 906,792,420

Greatest Common Factor of Numerators i.e. GCF of 906,792,420 is 6 .

LCM of Denominators means LCM of 28,73,723 as per the given fractions.

LCM of 28,73,723 is 1477812 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 906,792,420

GCF of Fractions 906/28,792/73,420/723 is 6/1477812

2 906, 792, 420
3 453, 396, 210
151, 132, 70

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 906,792,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,792,420 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 906,792,420 . The biggest common factor number is the GCF number.
So the greatest common factor 906,792,420 is 6.

Lets's calculate LCM of 28,73,723

Given numbers has no common factors except 1. So, there LCM is their product i.e 1477812

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1477812

Therefore, the GCF of Fractions 906/28,792/73,420/723 is 6/1477812

Least Common Multiple of 28,73,723 with GCF Formula

Least Common Multiple of 28,73,723 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 28,73,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,73,723) = 1

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

GCF(28,73,723) x common factors =1 x 1 = 1

LCM(28,73,723) = ( 28 × 73 × 723 ) / 1

LCM(28,73,723) = 1477812 / 1

LCM(28,73,723) = 1477812


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 906/28, 792/73, 420/723

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 906/28, 792/73, 420/723?

Answer: GCF of Numerators as per given numbers 906/28, 792/73, 420/723 is

GCF of Numerators i.e. for 906,792,420 is 6

LCM of denominators i.e. for 28,73,723 is 1477812.

Thus, GCF of Fractions is 6/1477812.Finally, GCF of Fractions for 906/28, 792/73, 420/723 is 6/1477812.