GCD of 465, 400, 967, 601 Calculator

Given Input numbers are 465, 400, 967, 601

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

Divisors of 465

List of positive integer divisors of 465 that divides 465 without a remainder.

1, 3, 5, 15, 31, 93, 155, 465

Divisors of 400

List of positive integer divisors of 400 that divides 400 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 967

List of positive integer divisors of 967 that divides 967 without a remainder.

1, 967

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Greatest Common Divisior

We found the divisors of 465, 400, 967, 601 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 465, 400, 967, 601 is 1.

Therefore, GCD of numbers 465, 400, 967, 601 is 1

Given Input Data is 465, 400, 967, 601

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

Prime Factorization of 465 is 3 x 5 x 31

Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 967 is 967

Prime Factorization of 601 is 601

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(465, 400) = 37200

GCD(465, 400) = ( 465 x 400 ) / 37200

GCD(465, 400) = 186000 / 37200

GCD(465, 400) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 967

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

LCM(5, 967) = 4835

GCD(5, 967) = ( 5 x 967 ) / 4835

GCD(5, 967) = 4835 / 4835

GCD(5, 967) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 601

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

LCM(1, 601) = 601

GCD(1, 601) = ( 1 x 601 ) / 601

GCD(1, 601) = 601 / 601

GCD(1, 601) = 1

GCD of 465, 400, 967, 601 is 1

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• GCD of 267, 724, 951, 274
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1. What is the GCD of 465, 400, 967, 601?

GCD of 465, 400, 967, 601 is 1

2. Where do I get the detailed procedure to find GCD of 465, 400, 967, 601?

You can find a detailed procedure to find GCD of 465, 400, 967, 601 on our page.

3. How to find GCD of 465, 400, 967, 601 on a calculator?

You can find the GCD of 465, 400, 967, 601 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.