GCD of 150, 497, 114, 850 Calculator

Given Input numbers are 150, 497, 114, 850

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 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Greatest Common Divisior

We found the divisors of 150, 497, 114, 850 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 497, 114, 850 is 1.

Therefore, GCD of numbers 150, 497, 114, 850 is 1

Given Input Data is 150, 497, 114, 850

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 497 is 7 x 71

Prime Factorization of 114 is 2 x 3 x 19

Prime Factorization of 850 is 2 x 5 x 5 x 17

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, 497) = 74550

GCD(150, 497) = ( 150 x 497 ) / 74550

GCD(150, 497) = 74550 / 74550

GCD(150, 497) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 850

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

LCM(1, 850) = 850

GCD(1, 850) = ( 1 x 850 ) / 850

GCD(1, 850) = 850 / 850

GCD(1, 850) = 1

GCD of 150, 497, 114, 850 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 147, 224, 552
• GCD of 525, 540, 696, 937
• GCD of 589, 768, 186, 652
• GCD of 796, 531, 223, 146
• GCD of 300, 325, 106, 828

1. What is the GCD of 150, 497, 114, 850?

GCD of 150, 497, 114, 850 is 1

2. Where do I get the detailed procedure to find GCD of 150, 497, 114, 850?

You can find a detailed procedure to find GCD of 150, 497, 114, 850 on our page.

3. How to find GCD of 150, 497, 114, 850 on a calculator?

You can find the GCD of 150, 497, 114, 850 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.