Greatest Common Factor of 33/789, 549/937, 665/882

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 33/789, 549/937, 665/882

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 33/789,549/937,665/882

Given fractions are 33/789,549/937,665/882

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 33,549,665

Greatest Common Factor of Numerators i.e. GCF of 33,549,665 is 1 .

LCM of Denominators means LCM of 789,937,882 as per the given fractions.

LCM of 789,937,882 is 217352142 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 33,549,665

GCF of Fractions 33/789,549/937,665/882 is 1/217352142

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

Greatest Common Factor of 33,549,665 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,549,665 By Matching Biggest Common Factor Method

Factors of 33

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

1,3,11,33

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Factors of 665

List of positive integer factors of 665 that divides 665 without a remainder.

1,5,7,19,35,95,133,665

Greatest Common Factor

We found the factors 33,549,665 . The biggest common factor number is the GCF number.
So the greatest common factor 33,549,665 is 1.


Lets's calculate LCM of 789,937,882

3 789, 937, 882
263, 937, 294

∴ So the LCM of the given numbers is 3 x 263 x 937 x 294 = 217352142

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/217352142

Therefore, the GCF of Fractions 33/789,549/937,665/882 is 1/217352142

Least Common Multiple of 789,937,882 with GCF Formula

Least Common Multiple of 789,937,882 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 789,937,882 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,937,882) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(789,937,882) x common factors =1 x 3 = 3

LCM(789,937,882) = ( 789 × 937 × 882 ) / 3

LCM(789,937,882) = 652056426 / 3

LCM(789,937,882) = 217352142


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 33/789, 549/937, 665/882

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 33/789, 549/937, 665/882?

Answer: GCF of Numerators as per given numbers 33/789, 549/937, 665/882 is

GCF of Numerators i.e. for 33,549,665 is 1

LCM of denominators i.e. for 789,937,882 is 217352142.

Thus, GCF of Fractions is 1/217352142.Finally, GCF of Fractions for 33/789, 549/937, 665/882 is 1/217352142.