GCD of 920, 921, 462, 214 Calculator

Given Input numbers are 920, 921, 462, 214

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (920, 921, 462, 214) = 1.

Given numbers are 920, 921, 462, 214

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 921 are 3 x 307

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 214 are 2 x 107

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

Given numbers are 920, 921, 462, 214

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

Apply this formula for all numbers.

Step1:

LCM(920, 921) = 847320

GCD(920, 921) = ( 920 x 921 ) / 847320

= 920 / 921

= 920

Step2:

LCM(1, 462) = 462

GCD(1, 462) = ( 1 x 462 ) / 462

= 1 / 462

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 920, 921, 462, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 255, 201, 369, 396
• GCD of 910, 170, 387, 612
• GCD of 678, 612, 741, 782
• GCD of 297, 218, 294, 666
• GCD of 675, 103, 808, 593

Given numbers are 920, 921, 462, 214
The greatest common divisor of numbers 920, 921, 462, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 921, 462, 214 is 1.

1. What is the GCD of 920, 921, 462, 214?

GCD of given numbers 920, 921, 462, 214 is 1

2. How to calculate the greatest common divisor of 920, 921, 462, 214?

We can find the highest common divisor of 920, 921, 462, 214 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 920, 921, 462, 214 i.e 1.

3. How can I use the GCD of 920, 921, 462, 214Calculator?

Out the numbers 920, 921, 462, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.