GCD of 625, 768, 165, 542 Calculator

Given Input numbers are 625, 768, 165, 542

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 768

List of positive integer divisors of 768 that divides 768 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Greatest Common Divisior

We found the divisors of 625, 768, 165, 542 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 625, 768, 165, 542 is 1.

Therefore, GCD of numbers 625, 768, 165, 542 is 1

Given Input Data is 625, 768, 165, 542

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 768 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 542 is 2 x 271

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, 768) = 480000

GCD(625, 768) = ( 625 x 768 ) / 480000

GCD(625, 768) = 480000 / 480000

GCD(625, 768) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 165

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

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

GCD(1, 165) = 165 / 165

GCD(1, 165) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 542

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

LCM(1, 542) = 542

GCD(1, 542) = ( 1 x 542 ) / 542

GCD(1, 542) = 542 / 542

GCD(1, 542) = 1

GCD of 625, 768, 165, 542 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 919, 990, 734
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1. What is the GCD of 625, 768, 165, 542?

GCD of 625, 768, 165, 542 is 1

2. Where do I get the detailed procedure to find GCD of 625, 768, 165, 542?

You can find a detailed procedure to find GCD of 625, 768, 165, 542 on our page.

3. How to find GCD of 625, 768, 165, 542 on a calculator?

You can find the GCD of 625, 768, 165, 542 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.