GCD of 894, 420, 31, 758 Calculator

Given Input numbers are 894, 420, 31, 758

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

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 31

List of positive integer divisors of 31 that divides 31 without a remainder.

1, 31

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Greatest Common Divisior

We found the divisors of 894, 420, 31, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 420, 31, 758 is 1.

Therefore, GCD of numbers 894, 420, 31, 758 is 1

Given Input Data is 894, 420, 31, 758

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 31 is 31

Prime Factorization of 758 is 2 x 379

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(894, 420) = 62580

GCD(894, 420) = ( 894 x 420 ) / 62580

GCD(894, 420) = 375480 / 62580

GCD(894, 420) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 31

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

LCM(6, 31) = 186

GCD(6, 31) = ( 6 x 31 ) / 186

GCD(6, 31) = 186 / 186

GCD(6, 31) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 758

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

LCM(1, 758) = 758

GCD(1, 758) = ( 1 x 758 ) / 758

GCD(1, 758) = 758 / 758

GCD(1, 758) = 1

GCD of 894, 420, 31, 758 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 239, 495, 34, 818
• GCD of 491, 126, 45, 514
• GCD of 633, 846, 32, 866
• GCD of 299, 323, 41, 186
• GCD of 958, 756, 38, 302

1. What is the GCD of 894, 420, 31, 758?

GCD of 894, 420, 31, 758 is 1

2. Where do I get the detailed procedure to find GCD of 894, 420, 31, 758?

You can find a detailed procedure to find GCD of 894, 420, 31, 758 on our page.

3. How to find GCD of 894, 420, 31, 758 on a calculator?

You can find the GCD of 894, 420, 31, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.