GCD of 150, 807, 509, 158 Calculator

Given Input numbers are 150, 807, 509, 158

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 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 158

List of positive integer divisors of 158 that divides 158 without a remainder.

1, 2, 79, 158

Greatest Common Divisior

We found the divisors of 150, 807, 509, 158 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 807, 509, 158 is 1.

Therefore, GCD of numbers 150, 807, 509, 158 is 1

Given Input Data is 150, 807, 509, 158

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 807 is 3 x 269

Prime Factorization of 509 is 509

Prime Factorization of 158 is 2 x 79

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, 807) = 40350

GCD(150, 807) = ( 150 x 807 ) / 40350

GCD(150, 807) = 121050 / 40350

GCD(150, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 509

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

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

GCD(3, 509) = 1527 / 1527

GCD(3, 509) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 158

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

LCM(1, 158) = 158

GCD(1, 158) = ( 1 x 158 ) / 158

GCD(1, 158) = 158 / 158

GCD(1, 158) = 1

GCD of 150, 807, 509, 158 is 1

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• GCD of 820, 144, 803, 560
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1. What is the GCD of 150, 807, 509, 158?

GCD of 150, 807, 509, 158 is 1

2. Where do I get the detailed procedure to find GCD of 150, 807, 509, 158?

You can find a detailed procedure to find GCD of 150, 807, 509, 158 on our page.

3. How to find GCD of 150, 807, 509, 158 on a calculator?

You can find the GCD of 150, 807, 509, 158 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.