Greatest Common Factor of 394/70, 532/39, 208/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 394/70, 532/39, 208/17

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 394/70,532/39,208/17

Given fractions are 394/70,532/39,208/17

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 394,532,208

Greatest Common Factor of Numerators i.e. GCF of 394,532,208 is 2 .

LCM of Denominators means LCM of 70,39,17 as per the given fractions.

LCM of 70,39,17 is 46410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 394,532,208

GCF of Fractions 394/70,532/39,208/17 is 2/46410

2 394, 532, 208
197, 266, 104

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

Greatest Common Factor of 394,532,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,532,208 By Matching Biggest Common Factor Method

Factors of 394

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

1,2,197,394

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 394,532,208 . The biggest common factor number is the GCF number.
So the greatest common factor 394,532,208 is 2.

Lets's calculate LCM of 70,39,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 46410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/46410

Therefore, the GCF of Fractions 394/70,532/39,208/17 is 2/46410

Least Common Multiple of 70,39,17 with GCF Formula

Least Common Multiple of 70,39,17 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 70,39,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,39,17) = 1

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

GCF(70,39,17) x common factors =1 x 1 = 1

LCM(70,39,17) = ( 70 × 39 × 17 ) / 1

LCM(70,39,17) = 46410 / 1

LCM(70,39,17) = 46410


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 394/70, 532/39, 208/17

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 394/70, 532/39, 208/17?

Answer: GCF of Numerators as per given numbers 394/70, 532/39, 208/17 is

GCF of Numerators i.e. for 394,532,208 is 2

LCM of denominators i.e. for 70,39,17 is 46410.

Thus, GCF of Fractions is 2/46410.Finally, GCF of Fractions for 394/70, 532/39, 208/17 is 2/46410.