GCD of 974, 786, 213 Calculator

Given Input numbers are 974, 786, 213

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

Divisors of 974

List of positive integer divisors of 974 that divides 974 without a remainder.

1, 2, 487, 974

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 213

List of positive integer divisors of 213 that divides 213 without a remainder.

1, 3, 71, 213

Greatest Common Divisior

We found the divisors of 974, 786, 213 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 786, 213 is 1.

Therefore, GCD of numbers 974, 786, 213 is 1

Given Input Data is 974, 786, 213

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

Prime Factorization of 974 is 2 x 487

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 213 is 3 x 71

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(974, 786) = 382782

GCD(974, 786) = ( 974 x 786 ) / 382782

GCD(974, 786) = 765564 / 382782

GCD(974, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 213

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

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

GCD(2, 213) = 426 / 426

GCD(2, 213) = 1

GCD of 974, 786, 213 is 1

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1. What is the GCD of 974, 786, 213?

GCD of 974, 786, 213 is 1

2. Where do I get the detailed procedure to find GCD of 974, 786, 213?

You can find a detailed procedure to find GCD of 974, 786, 213 on our page.

3. How to find GCD of 974, 786, 213 on a calculator?

You can find the GCD of 974, 786, 213 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.