GCD of 150, 894, 175, 684 Calculator

Given Input numbers are 150, 894, 175, 684

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 175

List of positive integer divisors of 175 that divides 175 without a remainder.

1, 5, 7, 25, 35, 175

Divisors of 684

List of positive integer divisors of 684 that divides 684 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Greatest Common Divisior

We found the divisors of 150, 894, 175, 684 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 894, 175, 684 is 1.

Therefore, GCD of numbers 150, 894, 175, 684 is 1

Given Input Data is 150, 894, 175, 684

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 894 is 2 x 3 x 149

Prime Factorization of 175 is 5 x 5 x 7

Prime Factorization of 684 is 2 x 2 x 3 x 3 x 19

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, 894) = 22350

GCD(150, 894) = ( 150 x 894 ) / 22350

GCD(150, 894) = 134100 / 22350

GCD(150, 894) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 175

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

LCM(6, 175) = 1050

GCD(6, 175) = ( 6 x 175 ) / 1050

GCD(6, 175) = 1050 / 1050

GCD(6, 175) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 684

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

LCM(1, 684) = 684

GCD(1, 684) = ( 1 x 684 ) / 684

GCD(1, 684) = 684 / 684

GCD(1, 684) = 1

GCD of 150, 894, 175, 684 is 1

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1. What is the GCD of 150, 894, 175, 684?

GCD of 150, 894, 175, 684 is 1

2. Where do I get the detailed procedure to find GCD of 150, 894, 175, 684?

You can find a detailed procedure to find GCD of 150, 894, 175, 684 on our page.

3. How to find GCD of 150, 894, 175, 684 on a calculator?

You can find the GCD of 150, 894, 175, 684 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.