GCD of 150, 735, 59, 273 Calculator

Given Input numbers are 150, 735, 59, 273

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 735

List of positive integer divisors of 735 that divides 735 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Greatest Common Divisior

We found the divisors of 150, 735, 59, 273 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 735, 59, 273 is 1.

Therefore, GCD of numbers 150, 735, 59, 273 is 1

Given Input Data is 150, 735, 59, 273

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 735 is 3 x 5 x 7 x 7

Prime Factorization of 59 is 59

Prime Factorization of 273 is 3 x 7 x 13

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, 735) = 7350

GCD(150, 735) = ( 150 x 735 ) / 7350

GCD(150, 735) = 110250 / 7350

GCD(150, 735) = 15

Step2:

Here we consider the GCD from the above i.e. 15 as first number and the next as 59

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

LCM(15, 59) = 885

GCD(15, 59) = ( 15 x 59 ) / 885

GCD(15, 59) = 885 / 885

GCD(15, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 273

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

LCM(1, 273) = 273

GCD(1, 273) = ( 1 x 273 ) / 273

GCD(1, 273) = 273 / 273

GCD(1, 273) = 1

GCD of 150, 735, 59, 273 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 763, 735, 18, 678
• GCD of 931, 548, 72, 135
• GCD of 326, 452, 37, 907
• GCD of 240, 688, 97, 831
• GCD of 515, 420, 10, 661

1. What is the GCD of 150, 735, 59, 273?

GCD of 150, 735, 59, 273 is 1

2. Where do I get the detailed procedure to find GCD of 150, 735, 59, 273?

You can find a detailed procedure to find GCD of 150, 735, 59, 273 on our page.

3. How to find GCD of 150, 735, 59, 273 on a calculator?

You can find the GCD of 150, 735, 59, 273 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.