Greatest Common Factor of 1642/155, 6936/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1642/155, 6936/415

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 1642/155,6936/415

Given fractions are 1642/155,6936/415

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 1642,6936

Greatest Common Factor of Numerators i.e. GCF of 1642,6936 is 2 .

LCM of Denominators means LCM of 155,415 as per the given fractions.

LCM of 155,415 is 12865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1642,6936

GCF of Fractions 1642/155,6936/415 is 2/12865

2 1642, 6936
821, 3468

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

Greatest Common Factor of 1642,6936 By Matching Biggest Common Factor Method

Greatest Common Factor of 1642,6936 By Matching Biggest Common Factor Method

Factors of 1642

List of positive integer factors of 1642 that divides 1642 without a remainder.

1,2,821,1642

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936

Greatest Common Factor

We found the factors 1642,6936 . The biggest common factor number is the GCF number.
So the greatest common factor 1642,6936 is 2.

Lets's calculate LCM of 155,415

5 155, 415
31, 83

∴ So the LCM of the given numbers is 5 x 31 x 83 = 12865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/12865

Therefore, the GCF of Fractions 1642/155,6936/415 is 2/12865

Least Common Multiple of 155,415 with GCF Formula

Least Common Multiple of 155,415 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 155,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(155,415) = 5

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

GCF(155,415) x common factors =5 x 1 = 5

LCM(155,415) = ( 155 × 415 ) / 5

LCM(155,415) = 64325 / 5

LCM(155,415) = 12865


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1642/155, 6936/415

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 1642/155, 6936/415?

Answer: GCF of Numerators as per given numbers 1642/155, 6936/415 is

GCF of Numerators i.e. for 1642,6936 is 2

LCM of denominators i.e. for 155,415 is 12865.

Thus, GCF of Fractions is 2/12865.Finally, GCF of Fractions for 1642/155, 6936/415 is 2/12865.