GCD of 397, 677, 500, 213 Calculator

Given Input numbers are 397, 677, 500, 213

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

Divisors of 397 :

The positive integer divisors of 397 that completely divides 397 are.

1, 397

Divisors of 677 :

The positive integer divisors of 677 that completely divides 677 are.

1, 677

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 (397, 677, 500, 213) = 1.

Given numbers are 397, 677, 500, 213

The list of prime factors of all numbers are

Prime factors of 397 are 397

Prime factors of 677 are 677

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 397, 677, 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(397, 677) = 268769

GCD(397, 677) = ( 397 x 677 ) / 268769

= 397 / 677

= 397

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 397, 677, 500, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 821, 808, 790
• GCD of 773, 478, 517, 269
• GCD of 727, 140, 589, 627
• GCD of 773, 152, 962, 561
• GCD of 536, 712, 304, 557

Given numbers are 397, 677, 500, 213
The greatest common divisor of numbers 397, 677, 500, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 397, 677, 500, 213 is 1.

1. What is the GCD of 397, 677, 500, 213?

GCD of given numbers 397, 677, 500, 213 is 1

2. How to calculate the greatest common divisor of 397, 677, 500, 213?

We can find the highest common divisor of 397, 677, 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 397, 677, 500, 213 i.e 1.

3. How can I use the GCD of 397, 677, 500, 213Calculator?

Out the numbers 397, 677, 500, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.