Greatest Common Factor of 34/419, 394/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/419, 394/955

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 34/419,394/955

Given fractions are 34/419,394/955

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 34,394

Greatest Common Factor of Numerators i.e. GCF of 34,394 is 2 .

LCM of Denominators means LCM of 419,955 as per the given fractions.

LCM of 419,955 is 400145 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,394

GCF of Fractions 34/419,394/955 is 2/400145

2 34, 394
17, 197

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

Greatest Common Factor of 34,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,394 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 34,394 . The biggest common factor number is the GCF number.
So the greatest common factor 34,394 is 2.

Lets's calculate LCM of 419,955

Given numbers has no common factors except 1. So, there LCM is their product i.e 400145

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/400145

Therefore, the GCF of Fractions 34/419,394/955 is 2/400145

Least Common Multiple of 419,955 with GCF Formula

Least Common Multiple of 419,955 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 419,955 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,955) = 1

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

GCF(419,955) x common factors =1 x 1 = 1

LCM(419,955) = ( 419 × 955 ) / 1

LCM(419,955) = 400145 / 1

LCM(419,955) = 400145


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 34/419, 394/955

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 34/419, 394/955?

Answer: GCF of Numerators as per given numbers 34/419, 394/955 is

GCF of Numerators i.e. for 34,394 is 2

LCM of denominators i.e. for 419,955 is 400145.

Thus, GCF of Fractions is 2/400145.Finally, GCF of Fractions for 34/419, 394/955 is 2/400145.