GCD of 362, 609, 975, 977 Calculator

Given Input numbers are 362, 609, 975, 977

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

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

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 975

List of positive integer divisors of 975 that divides 975 without a remainder.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 977

List of positive integer divisors of 977 that divides 977 without a remainder.

1, 977

Greatest Common Divisior

We found the divisors of 362, 609, 975, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 609, 975, 977 is 1.

Therefore, GCD of numbers 362, 609, 975, 977 is 1

Given Input Data is 362, 609, 975, 977

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 975 is 3 x 5 x 5 x 13

Prime Factorization of 977 is 977

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(362, 609) = 220458

GCD(362, 609) = ( 362 x 609 ) / 220458

GCD(362, 609) = 220458 / 220458

GCD(362, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 975

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

LCM(1, 975) = 975

GCD(1, 975) = ( 1 x 975 ) / 975

GCD(1, 975) = 975 / 975

GCD(1, 975) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 977

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

LCM(1, 977) = 977

GCD(1, 977) = ( 1 x 977 ) / 977

GCD(1, 977) = 977 / 977

GCD(1, 977) = 1

GCD of 362, 609, 975, 977 is 1

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1. What is the GCD of 362, 609, 975, 977?

GCD of 362, 609, 975, 977 is 1

2. Where do I get the detailed procedure to find GCD of 362, 609, 975, 977?

You can find a detailed procedure to find GCD of 362, 609, 975, 977 on our page.

3. How to find GCD of 362, 609, 975, 977 on a calculator?

You can find the GCD of 362, 609, 975, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.