GCD of 64, 169, 609, 340 Calculator

Given Input numbers are 64, 169, 609, 340

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

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

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

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 340

List of positive integer divisors of 340 that divides 340 without a remainder.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Greatest Common Divisior

We found the divisors of 64, 169, 609, 340 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 169, 609, 340 is 1.

Therefore, GCD of numbers 64, 169, 609, 340 is 1

Given Input Data is 64, 169, 609, 340

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

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 169 is 13 x 13

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 340 is 2 x 2 x 5 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(64, 169) = 10816

GCD(64, 169) = ( 64 x 169 ) / 10816

GCD(64, 169) = 10816 / 10816

GCD(64, 169) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 609

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

LCM(1, 609) = 609

GCD(1, 609) = ( 1 x 609 ) / 609

GCD(1, 609) = 609 / 609

GCD(1, 609) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 340

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

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

GCD(1, 340) = 340 / 340

GCD(1, 340) = 1

GCD of 64, 169, 609, 340 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 46, 809, 573, 184
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• GCD of 78, 559, 928, 970

1. What is the GCD of 64, 169, 609, 340?

GCD of 64, 169, 609, 340 is 1

2. Where do I get the detailed procedure to find GCD of 64, 169, 609, 340?

You can find a detailed procedure to find GCD of 64, 169, 609, 340 on our page.

3. How to find GCD of 64, 169, 609, 340 on a calculator?

You can find the GCD of 64, 169, 609, 340 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.