GCD of 213, 972, 562, 107 Calculator

Given Input numbers are 213, 972, 562, 107

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

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

GCD of numbers is the greatest common divisor

So, the GCD (213, 972, 562, 107) = 1.

Given numbers are 213, 972, 562, 107

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 562 are 2 x 281

Prime factors of 107 are 107

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

Given numbers are 213, 972, 562, 107

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

Apply this formula for all numbers.

Step1:

LCM(213, 972) = 69012

GCD(213, 972) = ( 213 x 972 ) / 69012

= 213 / 972

= 213

Step2:

LCM(3, 562) = 1686

GCD(3, 562) = ( 3 x 562 ) / 1686

= 3 / 562

= 3

Step3:

LCM(1, 107) = 107

GCD(1, 107) = ( 1 x 107 ) / 107

= 1 / 107

= 1

So, Greatest Common Divisor of 213, 972, 562, 107 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 629, 774, 712, 397
• GCD of 972, 604, 606, 351
• GCD of 911, 829, 222, 822
• GCD of 649, 632, 663, 127
• GCD of 745, 226, 199, 514

Given numbers are 213, 972, 562, 107
The greatest common divisor of numbers 213, 972, 562, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 972, 562, 107 is 1.

1. What is the GCD of 213, 972, 562, 107?

GCD of given numbers 213, 972, 562, 107 is 1

2. How to calculate the greatest common divisor of 213, 972, 562, 107?

We can find the highest common divisor of 213, 972, 562, 107 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 213, 972, 562, 107 i.e 1.

3. How can I use the GCD of 213, 972, 562, 107Calculator?

Out the numbers 213, 972, 562, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.