GCD of 362, 314, 52, 625 Calculator

Given Input numbers are 362, 314, 52, 625

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 314

List of positive integer divisors of 314 that divides 314 without a remainder.

1, 2, 157, 314

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 625

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

1, 5, 25, 125, 625

Greatest Common Divisior

We found the divisors of 362, 314, 52, 625 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 362, 314, 52, 625 is 1.

Therefore, GCD of numbers 362, 314, 52, 625 is 1

Given Input Data is 362, 314, 52, 625

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

Prime Factorization of 362 is 2 x 181

Prime Factorization of 314 is 2 x 157

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 625 is 5 x 5 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, 314) = 56834

GCD(362, 314) = ( 362 x 314 ) / 56834

GCD(362, 314) = 113668 / 56834

GCD(362, 314) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 52

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

LCM(2, 52) = 52

GCD(2, 52) = ( 2 x 52 ) / 52

GCD(2, 52) = 104 / 52

GCD(2, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 625

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

LCM(2, 625) = 1250

GCD(2, 625) = ( 2 x 625 ) / 1250

GCD(2, 625) = 1250 / 1250

GCD(2, 625) = 1

GCD of 362, 314, 52, 625 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 260, 79, 799
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• GCD of 845, 143, 91, 242
• GCD of 264, 460, 70, 293
• GCD of 649, 367, 90, 755

1. What is the GCD of 362, 314, 52, 625?

GCD of 362, 314, 52, 625 is 1

2. Where do I get the detailed procedure to find GCD of 362, 314, 52, 625?

You can find a detailed procedure to find GCD of 362, 314, 52, 625 on our page.

3. How to find GCD of 362, 314, 52, 625 on a calculator?

You can find the GCD of 362, 314, 52, 625 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.