GCD of 387, 150, 854, 735 Calculator

Given Input numbers are 387, 150, 854, 735

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

Divisors of 387

List of positive integer divisors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

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 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

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

Greatest Common Divisior

We found the divisors of 387, 150, 854, 735 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 387, 150, 854, 735 is 1.

Therefore, GCD of numbers 387, 150, 854, 735 is 1

Given Input Data is 387, 150, 854, 735

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

Prime Factorization of 387 is 3 x 3 x 43

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

Prime Factorization of 854 is 2 x 7 x 61

Prime Factorization of 735 is 3 x 5 x 7 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(387, 150) = 19350

GCD(387, 150) = ( 387 x 150 ) / 19350

GCD(387, 150) = 58050 / 19350

GCD(387, 150) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 854

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

LCM(3, 854) = 2562

GCD(3, 854) = ( 3 x 854 ) / 2562

GCD(3, 854) = 2562 / 2562

GCD(3, 854) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 735

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

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

GCD(1, 735) = 735 / 735

GCD(1, 735) = 1

GCD of 387, 150, 854, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 521, 498, 938
• GCD of 661, 953, 383, 447
• GCD of 896, 647, 629, 977
• GCD of 539, 960, 703, 716
• GCD of 520, 210, 136, 168

1. What is the GCD of 387, 150, 854, 735?

GCD of 387, 150, 854, 735 is 1

2. Where do I get the detailed procedure to find GCD of 387, 150, 854, 735?

You can find a detailed procedure to find GCD of 387, 150, 854, 735 on our page.

3. How to find GCD of 387, 150, 854, 735 on a calculator?

You can find the GCD of 387, 150, 854, 735 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.