GCD of 34, 354, 917, 136 Calculator

Given Input numbers are 34, 354, 917, 136

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 34

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

1, 2, 17, 34

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 917

List of positive integer divisors of 917 that divides 917 without a remainder.

1, 7, 131, 917

Divisors of 136

List of positive integer divisors of 136 that divides 136 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136

Greatest Common Divisior

We found the divisors of 34, 354, 917, 136 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 34, 354, 917, 136 is 1.

Therefore, GCD of numbers 34, 354, 917, 136 is 1

Given Input Data is 34, 354, 917, 136

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 34 is 2 x 17

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 917 is 7 x 131

Prime Factorization of 136 is 2 x 2 x 2 x 17

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(34, 354) = 6018

GCD(34, 354) = ( 34 x 354 ) / 6018

GCD(34, 354) = 12036 / 6018

GCD(34, 354) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 917

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 917) = 1834

GCD(2, 917) = ( 2 x 917 ) / 1834

GCD(2, 917) = 1834 / 1834

GCD(2, 917) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 136

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

GCD(1, 136) = 136 / 136

GCD(1, 136) = 1

GCD of 34, 354, 917, 136 is 1

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• GCD of 44, 616, 977, 113
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• GCD of 51, 183, 919, 404

1. What is the GCD of 34, 354, 917, 136?

GCD of 34, 354, 917, 136 is 1

2. Where do I get the detailed procedure to find GCD of 34, 354, 917, 136?

You can find a detailed procedure to find GCD of 34, 354, 917, 136 on our page.

3. How to find GCD of 34, 354, 917, 136 on a calculator?

You can find the GCD of 34, 354, 917, 136 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.