Greatest Common Factor of 726/84, 502/56, 822/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 726/84, 502/56, 822/33

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 726/84,502/56,822/33

Given fractions are 726/84,502/56,822/33

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 726,502,822

Greatest Common Factor of Numerators i.e. GCF of 726,502,822 is 2 .

LCM of Denominators means LCM of 84,56,33 as per the given fractions.

LCM of 84,56,33 is 1848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 726,502,822

GCF of Fractions 726/84,502/56,822/33 is 2/1848

2 726, 502, 822
363, 251, 411

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 726,502,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 726,502,822 By Matching Biggest Common Factor Method

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 726,502,822 . The biggest common factor number is the GCF number.
So the greatest common factor 726,502,822 is 2.

Lets's calculate LCM of 84,56,33

2 84, 56, 33
2 42, 28, 33
3 21, 14, 33
7 7, 14, 11
1, 2, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 2 x 11 = 1848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1848

Therefore, the GCF of Fractions 726/84,502/56,822/33 is 2/1848

Least Common Multiple of 84,56,33 with GCF Formula

Least Common Multiple of 84,56,33 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 84,56,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,56,33) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(84,56,33) x common factors =1 x 84 = 84

LCM(84,56,33) = ( 84 × 56 × 33 ) / 84

LCM(84,56,33) = 155232 / 84

LCM(84,56,33) = 1848


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 726/84, 502/56, 822/33

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 726/84, 502/56, 822/33?

Answer: GCF of Numerators as per given numbers 726/84, 502/56, 822/33 is

GCF of Numerators i.e. for 726,502,822 is 2

LCM of denominators i.e. for 84,56,33 is 1848.

Thus, GCF of Fractions is 2/1848.Finally, GCF of Fractions for 726/84, 502/56, 822/33 is 2/1848.