GCD of 867, 540, 74, 150 Calculator

Given Input numbers are 867, 540, 74, 150

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 540

List of positive integer divisors of 540 that divides 540 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

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

Greatest Common Divisior

We found the divisors of 867, 540, 74, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 540, 74, 150 is 1.

Therefore, GCD of numbers 867, 540, 74, 150 is 1

Given Input Data is 867, 540, 74, 150

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5

Prime Factorization of 74 is 2 x 37

Prime Factorization of 150 is 2 x 3 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(867, 540) = 156060

GCD(867, 540) = ( 867 x 540 ) / 156060

GCD(867, 540) = 468180 / 156060

GCD(867, 540) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 74

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

LCM(3, 74) = 222

GCD(3, 74) = ( 3 x 74 ) / 222

GCD(3, 74) = 222 / 222

GCD(3, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 867, 540, 74, 150 is 1

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• GCD of 178, 838, 22, 185
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1. What is the GCD of 867, 540, 74, 150?

GCD of 867, 540, 74, 150 is 1

2. Where do I get the detailed procedure to find GCD of 867, 540, 74, 150?

You can find a detailed procedure to find GCD of 867, 540, 74, 150 on our page.

3. How to find GCD of 867, 540, 74, 150 on a calculator?

You can find the GCD of 867, 540, 74, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.