Greatest Common Factor of 135/411, 806/993, 852/374

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 135/411, 806/993, 852/374

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 135/411,806/993,852/374

Given fractions are 135/411,806/993,852/374

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 135,806,852

Greatest Common Factor of Numerators i.e. GCF of 135,806,852 is 1 .

LCM of Denominators means LCM of 411,993,374 as per the given fractions.

LCM of 411,993,374 is 50879334 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 135,806,852

GCF of Fractions 135/411,806/993,852/374 is 1/50879334

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

Greatest Common Factor of 135,806,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,806,852 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 806

List of positive integer factors of 806 that divides 806 without a remainder.

1,2,13,26,31,62,403,806

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Greatest Common Factor

We found the factors 135,806,852 . The biggest common factor number is the GCF number.
So the greatest common factor 135,806,852 is 1.

Lets's calculate LCM of 411,993,374

3 411, 993, 374
137, 331, 374

∴ So the LCM of the given numbers is 3 x 137 x 331 x 374 = 50879334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50879334

Therefore, the GCF of Fractions 135/411,806/993,852/374 is 1/50879334

Least Common Multiple of 411,993,374 with GCF Formula

Least Common Multiple of 411,993,374 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 411,993,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,993,374) = 1

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

GCF(411,993,374) x common factors =1 x 3 = 3

LCM(411,993,374) = ( 411 × 993 × 374 ) / 3

LCM(411,993,374) = 152638002 / 3

LCM(411,993,374) = 50879334


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 135/411, 806/993, 852/374

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 135/411, 806/993, 852/374?

Answer: GCF of Numerators as per given numbers 135/411, 806/993, 852/374 is

GCF of Numerators i.e. for 135,806,852 is 1

LCM of denominators i.e. for 411,993,374 is 50879334.

Thus, GCF of Fractions is 1/50879334.Finally, GCF of Fractions for 135/411, 806/993, 852/374 is 1/50879334.