Greatest Common Factor of 3615/156, 3358/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3615/156, 3358/346

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 3615/156,3358/346

Given fractions are 3615/156,3358/346

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 3615,3358

Greatest Common Factor of Numerators i.e. GCF of 3615,3358 is 1 .

LCM of Denominators means LCM of 156,346 as per the given fractions.

LCM of 156,346 is 26988 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3615,3358

GCF of Fractions 3615/156,3358/346 is 1/26988

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

Greatest Common Factor of 3615,3358 By Matching Biggest Common Factor Method

Greatest Common Factor of 3615,3358 By Matching Biggest Common Factor Method

Factors of 3615

List of positive integer factors of 3615 that divides 3615 without a remainder.

1,3,5,15,241,723,1205,3615

Factors of 3358

List of positive integer factors of 3358 that divides 3358 without a remainder.

1,2,23,46,73,146,1679,3358

Greatest Common Factor

We found the factors 3615,3358 . The biggest common factor number is the GCF number.
So the greatest common factor 3615,3358 is 1.

Lets's calculate LCM of 156,346

2 156, 346
78, 173

∴ So the LCM of the given numbers is 2 x 78 x 173 = 26988

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26988

Therefore, the GCF of Fractions 3615/156,3358/346 is 1/26988

Least Common Multiple of 156,346 with GCF Formula

Least Common Multiple of 156,346 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 156,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,346) = 2

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

GCF(156,346) x common factors =2 x 1 = 2

LCM(156,346) = ( 156 × 346 ) / 2

LCM(156,346) = 53976 / 2

LCM(156,346) = 26988


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 3615/156, 3358/346

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 3615/156, 3358/346?

Answer: GCF of Numerators as per given numbers 3615/156, 3358/346 is

GCF of Numerators i.e. for 3615,3358 is 1

LCM of denominators i.e. for 156,346 is 26988.

Thus, GCF of Fractions is 1/26988.Finally, GCF of Fractions for 3615/156, 3358/346 is 1/26988.