GCD of 362, 625, 60, 400 Calculator

Given Input numbers are 362, 625, 60, 400

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 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 60

List of positive integer divisors of 60 that divides 60 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

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

Greatest Common Divisior

We found the divisors of 362, 625, 60, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 625, 60, 400 is 1.

Therefore, GCD of numbers 362, 625, 60, 400 is 1

Given Input Data is 362, 625, 60, 400

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 60 is 2 x 2 x 3 x 5

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

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, 625) = 226250

GCD(362, 625) = ( 362 x 625 ) / 226250

GCD(362, 625) = 226250 / 226250

GCD(362, 625) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 60

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

LCM(1, 60) = 60

GCD(1, 60) = ( 1 x 60 ) / 60

GCD(1, 60) = 60 / 60

GCD(1, 60) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 400

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

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

GCD(1, 400) = 400 / 400

GCD(1, 400) = 1

GCD of 362, 625, 60, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 676, 316, 88, 323
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• GCD of 580, 401, 26, 543
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• GCD of 376, 887, 13, 896

1. What is the GCD of 362, 625, 60, 400?

GCD of 362, 625, 60, 400 is 1

2. Where do I get the detailed procedure to find GCD of 362, 625, 60, 400?

You can find a detailed procedure to find GCD of 362, 625, 60, 400 on our page.

3. How to find GCD of 362, 625, 60, 400 on a calculator?

You can find the GCD of 362, 625, 60, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.