Greatest Common Factor of 17/34, 316/36, 556/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 17/34, 316/36, 556/188

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 17/34,316/36,556/188

Given fractions are 17/34,316/36,556/188

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 17,316,556

Greatest Common Factor of Numerators i.e. GCF of 17,316,556 is 1 .

LCM of Denominators means LCM of 34,36,188 as per the given fractions.

LCM of 34,36,188 is 28764 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 17,316,556

GCF of Fractions 17/34,316/36,556/188 is 1/28764

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

Greatest Common Factor of 17,316,556 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,316,556 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Factors of 556

List of positive integer factors of 556 that divides 556 without a remainder.

1,2,4,139,278,556

Greatest Common Factor

We found the factors 17,316,556 . The biggest common factor number is the GCF number.
So the greatest common factor 17,316,556 is 1.

Lets's calculate LCM of 34,36,188

2 34, 36, 188
2 17, 18, 94
17, 9, 47

∴ So the LCM of the given numbers is 2 x 2 x 17 x 9 x 47 = 28764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28764

Therefore, the GCF of Fractions 17/34,316/36,556/188 is 1/28764

Least Common Multiple of 34,36,188 with GCF Formula

Least Common Multiple of 34,36,188 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 34,36,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,36,188) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(34,36,188) x common factors =2 x 4 = 8

LCM(34,36,188) = ( 34 × 36 × 188 ) / 8

LCM(34,36,188) = 230112 / 8

LCM(34,36,188) = 28764


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 17/34, 316/36, 556/188

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 17/34, 316/36, 556/188?

Answer: GCF of Numerators as per given numbers 17/34, 316/36, 556/188 is

GCF of Numerators i.e. for 17,316,556 is 1

LCM of denominators i.e. for 34,36,188 is 28764.

Thus, GCF of Fractions is 1/28764.Finally, GCF of Fractions for 17/34, 316/36, 556/188 is 1/28764.