Greatest Common Factor of 3438/348, 1168/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3438/348, 1168/415

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 3438/348,1168/415

Given fractions are 3438/348,1168/415

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 3438,1168

Greatest Common Factor of Numerators i.e. GCF of 3438,1168 is 2 .

LCM of Denominators means LCM of 348,415 as per the given fractions.

LCM of 348,415 is 144420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3438,1168

GCF of Fractions 3438/348,1168/415 is 2/144420

2 3438, 1168
1719, 584

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

Greatest Common Factor of 3438,1168 By Matching Biggest Common Factor Method

Greatest Common Factor of 3438,1168 By Matching Biggest Common Factor Method

Factors of 3438

List of positive integer factors of 3438 that divides 3438 without a remainder.

1,2,3,6,9,18,191,382,573,1146,1719,3438

Factors of 1168

List of positive integer factors of 1168 that divides 1168 without a remainder.

1,2,4,8,16,73,146,292,584,1168

Greatest Common Factor

We found the factors 3438,1168 . The biggest common factor number is the GCF number.
So the greatest common factor 3438,1168 is 2.

Lets's calculate LCM of 348,415

Given numbers has no common factors except 1. So, there LCM is their product i.e 144420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144420

Therefore, the GCF of Fractions 3438/348,1168/415 is 2/144420

Least Common Multiple of 348,415 with GCF Formula

Least Common Multiple of 348,415 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 348,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(348,415) = 1

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

GCF(348,415) x common factors =1 x 1 = 1

LCM(348,415) = ( 348 × 415 ) / 1

LCM(348,415) = 144420 / 1

LCM(348,415) = 144420


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 3438/348, 1168/415

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 3438/348, 1168/415?

Answer: GCF of Numerators as per given numbers 3438/348, 1168/415 is

GCF of Numerators i.e. for 3438,1168 is 2

LCM of denominators i.e. for 348,415 is 144420.

Thus, GCF of Fractions is 2/144420.Finally, GCF of Fractions for 3438/348, 1168/415 is 2/144420.