GCD of 151, 171, 65, 504 Calculator

Given Input numbers are 151, 171, 65, 504

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

Divisors of 151

List of positive integer divisors of 151 that divides 151 without a remainder.

1, 151

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

Divisors of 504

List of positive integer divisors of 504 that divides 504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Greatest Common Divisior

We found the divisors of 151, 171, 65, 504 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 151, 171, 65, 504 is 1.

Therefore, GCD of numbers 151, 171, 65, 504 is 1

Given Input Data is 151, 171, 65, 504

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

Prime Factorization of 151 is 151

Prime Factorization of 171 is 3 x 3 x 19

Prime Factorization of 65 is 5 x 13

Prime Factorization of 504 is 2 x 2 x 2 x 3 x 3 x 7

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(151, 171) = 25821

GCD(151, 171) = ( 151 x 171 ) / 25821

GCD(151, 171) = 25821 / 25821

GCD(151, 171) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 65

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

LCM(1, 65) = 65

GCD(1, 65) = ( 1 x 65 ) / 65

GCD(1, 65) = 65 / 65

GCD(1, 65) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 504

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

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

GCD(1, 504) = 504 / 504

GCD(1, 504) = 1

GCD of 151, 171, 65, 504 is 1

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1. What is the GCD of 151, 171, 65, 504?

GCD of 151, 171, 65, 504 is 1

2. Where do I get the detailed procedure to find GCD of 151, 171, 65, 504?

You can find a detailed procedure to find GCD of 151, 171, 65, 504 on our page.

3. How to find GCD of 151, 171, 65, 504 on a calculator?

You can find the GCD of 151, 171, 65, 504 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.