GCD of 464, 916, 150, 993 Calculator

Given Input numbers are 464, 916, 150, 993

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

Divisors of 464

List of positive integer divisors of 464 that divides 464 without a remainder.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 464, 916, 150, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 464, 916, 150, 993 is 1.

Therefore, GCD of numbers 464, 916, 150, 993 is 1

Given Input Data is 464, 916, 150, 993

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

Prime Factorization of 464 is 2 x 2 x 2 x 2 x 29

Prime Factorization of 916 is 2 x 2 x 229

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

Prime Factorization of 993 is 3 x 331

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(464, 916) = 106256

GCD(464, 916) = ( 464 x 916 ) / 106256

GCD(464, 916) = 425024 / 106256

GCD(464, 916) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 150

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

LCM(4, 150) = 300

GCD(4, 150) = ( 4 x 150 ) / 300

GCD(4, 150) = 600 / 300

GCD(4, 150) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 993

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

LCM(2, 993) = 1986

GCD(2, 993) = ( 2 x 993 ) / 1986

GCD(2, 993) = 1986 / 1986

GCD(2, 993) = 1

GCD of 464, 916, 150, 993 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 811, 123, 864
• GCD of 642, 273, 328, 456
• GCD of 603, 782, 212, 715
• GCD of 187, 182, 148, 349
• GCD of 727, 312, 994, 100

1. What is the GCD of 464, 916, 150, 993?

GCD of 464, 916, 150, 993 is 1

2. Where do I get the detailed procedure to find GCD of 464, 916, 150, 993?

You can find a detailed procedure to find GCD of 464, 916, 150, 993 on our page.

3. How to find GCD of 464, 916, 150, 993 on a calculator?

You can find the GCD of 464, 916, 150, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.