GCD of 150, 154, 61, 507 Calculator

Given Input numbers are 150, 154, 61, 507

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 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Greatest Common Divisior

We found the divisors of 150, 154, 61, 507 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 154, 61, 507 is 1.

Therefore, GCD of numbers 150, 154, 61, 507 is 1

Given Input Data is 150, 154, 61, 507

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 154 is 2 x 7 x 11

Prime Factorization of 61 is 61

Prime Factorization of 507 is 3 x 13 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, 154) = 11550

GCD(150, 154) = ( 150 x 154 ) / 11550

GCD(150, 154) = 23100 / 11550

GCD(150, 154) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 61

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

LCM(2, 61) = 122

GCD(2, 61) = ( 2 x 61 ) / 122

GCD(2, 61) = 122 / 122

GCD(2, 61) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 507

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

LCM(1, 507) = 507

GCD(1, 507) = ( 1 x 507 ) / 507

GCD(1, 507) = 507 / 507

GCD(1, 507) = 1

GCD of 150, 154, 61, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 427, 228, 37, 791
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• GCD of 802, 687, 96, 603
• GCD of 726, 581, 85, 438

1. What is the GCD of 150, 154, 61, 507?

GCD of 150, 154, 61, 507 is 1

2. Where do I get the detailed procedure to find GCD of 150, 154, 61, 507?

You can find a detailed procedure to find GCD of 150, 154, 61, 507 on our page.

3. How to find GCD of 150, 154, 61, 507 on a calculator?

You can find the GCD of 150, 154, 61, 507 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.