Greatest Common Factor of 69/990, 39/432, 737/644

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 69/990, 39/432, 737/644

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 69/990,39/432,737/644

Given fractions are 69/990,39/432,737/644

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 69,39,737

Greatest Common Factor of Numerators i.e. GCF of 69,39,737 is 1 .

LCM of Denominators means LCM of 990,432,644 as per the given fractions.

LCM of 990,432,644 is 3825360 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 69,39,737

GCF of Fractions 69/990,39/432,737/644 is 1/3825360

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

Greatest Common Factor of 69,39,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,39,737 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 69,39,737 . The biggest common factor number is the GCF number.
So the greatest common factor 69,39,737 is 1.

Lets's calculate LCM of 990,432,644

2 990, 432, 644
2 495, 216, 322
3 495, 108, 161
3 165, 36, 161
55, 12, 161

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 55 x 12 x 161 = 3825360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3825360

Therefore, the GCF of Fractions 69/990,39/432,737/644 is 1/3825360

Least Common Multiple of 990,432,644 with GCF Formula

Least Common Multiple of 990,432,644 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 990,432,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,432,644) = 2

common factors(in case of two or more numbers have common factors) = 36

GCF(990,432,644) x common factors =2 x 36 = 72

LCM(990,432,644) = ( 990 × 432 × 644 ) / 72

LCM(990,432,644) = 275425920 / 72

LCM(990,432,644) = 3825360


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 69/990, 39/432, 737/644

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 69/990, 39/432, 737/644?

Answer: GCF of Numerators as per given numbers 69/990, 39/432, 737/644 is

GCF of Numerators i.e. for 69,39,737 is 1

LCM of denominators i.e. for 990,432,644 is 3825360.

Thus, GCF of Fractions is 1/3825360.Finally, GCF of Fractions for 69/990, 39/432, 737/644 is 1/3825360.