GCD of 692, 216, 213, 480 Calculator

Given Input numbers are 692, 216, 213, 480

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

GCD of numbers is the greatest common divisor

So, the GCD (692, 216, 213, 480) = 1.

Given numbers are 692, 216, 213, 480

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 213 are 3 x 71

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

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

Given numbers are 692, 216, 213, 480

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

Apply this formula for all numbers.

Step1:

LCM(692, 216) = 37368

GCD(692, 216) = ( 692 x 216 ) / 37368

= 692 / 216

= 692

Step2:

LCM(4, 213) = 852

GCD(4, 213) = ( 4 x 213 ) / 852

= 4 / 213

= 4

Step3:

LCM(1, 480) = 480

GCD(1, 480) = ( 1 x 480 ) / 480

= 1 / 480

= 1

So, Greatest Common Divisor of 692, 216, 213, 480 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 454, 777, 243, 164
• GCD of 119, 820, 657, 493
• GCD of 680, 793, 280, 638
• GCD of 861, 361, 998, 315
• GCD of 297, 956, 222, 263

Given numbers are 692, 216, 213, 480
The greatest common divisor of numbers 692, 216, 213, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 216, 213, 480 is 1.

1. What is the GCD of 692, 216, 213, 480?

GCD of given numbers 692, 216, 213, 480 is 1

2. How to calculate the greatest common divisor of 692, 216, 213, 480?

We can find the highest common divisor of 692, 216, 213, 480 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 692, 216, 213, 480 i.e 1.

3. How can I use the GCD of 692, 216, 213, 480Calculator?

Out the numbers 692, 216, 213, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.