GCD of 625, 320, 102, 207 Calculator

Given Input numbers are 625, 320, 102, 207

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

Divisors of 625

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

1, 5, 25, 125, 625

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 207

List of positive integer divisors of 207 that divides 207 without a remainder.

1, 3, 9, 23, 69, 207

Greatest Common Divisior

We found the divisors of 625, 320, 102, 207 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 320, 102, 207 is 1.

Therefore, GCD of numbers 625, 320, 102, 207 is 1

Given Input Data is 625, 320, 102, 207

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

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 207 is 3 x 3 x 23

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(625, 320) = 40000

GCD(625, 320) = ( 625 x 320 ) / 40000

GCD(625, 320) = 200000 / 40000

GCD(625, 320) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 102

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

LCM(5, 102) = 510

GCD(5, 102) = ( 5 x 102 ) / 510

GCD(5, 102) = 510 / 510

GCD(5, 102) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 207

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

LCM(1, 207) = 207

GCD(1, 207) = ( 1 x 207 ) / 207

GCD(1, 207) = 207 / 207

GCD(1, 207) = 1

GCD of 625, 320, 102, 207 is 1

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1. What is the GCD of 625, 320, 102, 207?

GCD of 625, 320, 102, 207 is 1

2. Where do I get the detailed procedure to find GCD of 625, 320, 102, 207?

You can find a detailed procedure to find GCD of 625, 320, 102, 207 on our page.

3. How to find GCD of 625, 320, 102, 207 on a calculator?

You can find the GCD of 625, 320, 102, 207 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.