GCD of 420, 925, 551, 152 Calculator

Given Input numbers are 420, 925, 551, 152

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 925

List of positive integer divisors of 925 that divides 925 without a remainder.

1, 5, 25, 37, 185, 925

Divisors of 551

List of positive integer divisors of 551 that divides 551 without a remainder.

1, 19, 29, 551

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

Greatest Common Divisior

We found the divisors of 420, 925, 551, 152 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 925, 551, 152 is 1.

Therefore, GCD of numbers 420, 925, 551, 152 is 1

Given Input Data is 420, 925, 551, 152

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 925 is 5 x 5 x 37

Prime Factorization of 551 is 19 x 29

Prime Factorization of 152 is 2 x 2 x 2 x 19

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(420, 925) = 77700

GCD(420, 925) = ( 420 x 925 ) / 77700

GCD(420, 925) = 388500 / 77700

GCD(420, 925) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 551

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

LCM(5, 551) = 2755

GCD(5, 551) = ( 5 x 551 ) / 2755

GCD(5, 551) = 2755 / 2755

GCD(5, 551) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 152

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

LCM(1, 152) = 152

GCD(1, 152) = ( 1 x 152 ) / 152

GCD(1, 152) = 152 / 152

GCD(1, 152) = 1

GCD of 420, 925, 551, 152 is 1

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• GCD of 268, 244, 176, 788
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1. What is the GCD of 420, 925, 551, 152?

GCD of 420, 925, 551, 152 is 1

2. Where do I get the detailed procedure to find GCD of 420, 925, 551, 152?

You can find a detailed procedure to find GCD of 420, 925, 551, 152 on our page.

3. How to find GCD of 420, 925, 551, 152 on a calculator?

You can find the GCD of 420, 925, 551, 152 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.