GCD of 981, 394, 500, 213 Calculator

Given Input numbers are 981, 394, 500, 213

In the factoring method, we have to find the divisors of all numbers

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (981, 394, 500, 213) = 1.

Given numbers are 981, 394, 500, 213

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 394 are 2 x 197

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 213 are 3 x 71

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 981, 394, 500, 213

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(981, 394) = 386514

GCD(981, 394) = ( 981 x 394 ) / 386514

= 981 / 394

= 981

Step2:

LCM(1, 500) = 500

GCD(1, 500) = ( 1 x 500 ) / 500

= 1 / 500

= 1

Step3:

LCM(1, 213) = 213

GCD(1, 213) = ( 1 x 213 ) / 213

= 1 / 213

= 1

So, Greatest Common Divisor of 981, 394, 500, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 411, 675, 467
• GCD of 251, 826, 602, 139
• GCD of 827, 278, 315, 264
• GCD of 892, 575, 448, 915
• GCD of 205, 197, 150, 366

Given numbers are 981, 394, 500, 213
The greatest common divisor of numbers 981, 394, 500, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 394, 500, 213 is 1.

1. What is the GCD of 981, 394, 500, 213?

GCD of given numbers 981, 394, 500, 213 is 1

2. How to calculate the greatest common divisor of 981, 394, 500, 213?

We can find the highest common divisor of 981, 394, 500, 213 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 981, 394, 500, 213 i.e 1.

3. How can I use the GCD of 981, 394, 500, 213Calculator?

Out the numbers 981, 394, 500, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.