Greatest Common Factor of 414/38, 256/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 414/38, 256/371

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 414/38,256/371

Given fractions are 414/38,256/371

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 414,256

Greatest Common Factor of Numerators i.e. GCF of 414,256 is 2 .

LCM of Denominators means LCM of 38,371 as per the given fractions.

LCM of 38,371 is 14098 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 414,256

GCF of Fractions 414/38,256/371 is 2/14098

2 414, 256
207, 128

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

Greatest Common Factor of 414,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 414,256 By Matching Biggest Common Factor Method

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 414,256 . The biggest common factor number is the GCF number.
So the greatest common factor 414,256 is 2.

Lets's calculate LCM of 38,371

Given numbers has no common factors except 1. So, there LCM is their product i.e 14098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/14098

Therefore, the GCF of Fractions 414/38,256/371 is 2/14098

Least Common Multiple of 38,371 with GCF Formula

Least Common Multiple of 38,371 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 38,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,371) = 1

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

GCF(38,371) x common factors =1 x 1 = 1

LCM(38,371) = ( 38 × 371 ) / 1

LCM(38,371) = 14098 / 1

LCM(38,371) = 14098


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 414/38, 256/371

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 414/38, 256/371?

Answer: GCF of Numerators as per given numbers 414/38, 256/371 is

GCF of Numerators i.e. for 414,256 is 2

LCM of denominators i.e. for 38,371 is 14098.

Thus, GCF of Fractions is 2/14098.Finally, GCF of Fractions for 414/38, 256/371 is 2/14098.