GCD of 150, 554, 291, 125 Calculator

Given Input numbers are 150, 554, 291, 125

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

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Greatest Common Divisior

We found the divisors of 150, 554, 291, 125 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 554, 291, 125 is 1.

Therefore, GCD of numbers 150, 554, 291, 125 is 1

Given Input Data is 150, 554, 291, 125

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

Prime Factorization of 150 is 2 x 3 x 5 x 5

Prime Factorization of 554 is 2 x 277

Prime Factorization of 291 is 3 x 97

Prime Factorization of 125 is 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(150, 554) = 41550

GCD(150, 554) = ( 150 x 554 ) / 41550

GCD(150, 554) = 83100 / 41550

GCD(150, 554) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 291

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

LCM(2, 291) = 582

GCD(2, 291) = ( 2 x 291 ) / 582

GCD(2, 291) = 582 / 582

GCD(2, 291) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 125

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

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

GCD(1, 125) = 125 / 125

GCD(1, 125) = 1

GCD of 150, 554, 291, 125 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 858, 684, 376, 388
• GCD of 152, 746, 671, 515
• GCD of 370, 543, 794, 824
• GCD of 565, 719, 124, 124
• GCD of 814, 803, 803, 161

1. What is the GCD of 150, 554, 291, 125?

GCD of 150, 554, 291, 125 is 1

2. Where do I get the detailed procedure to find GCD of 150, 554, 291, 125?

You can find a detailed procedure to find GCD of 150, 554, 291, 125 on our page.

3. How to find GCD of 150, 554, 291, 125 on a calculator?

You can find the GCD of 150, 554, 291, 125 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.