GCD of 788, 214, 122, 920 Calculator

Given Input numbers are 788, 214, 122, 920

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 214 :

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

1, 2, 107, 214

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

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

GCD of numbers is the greatest common divisor

So, the GCD (788, 214, 122, 920) = 2.

Given numbers are 788, 214, 122, 920

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 214 are 2 x 107

Prime factors of 122 are 2 x 61

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

The highest common occurrence is 2¹

Therefore, GCD of 788, 214, 122, 920 is 2.

Given numbers are 788, 214, 122, 920

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

Apply this formula for all numbers.

Step1:

LCM(788, 214) = 84316

GCD(788, 214) = ( 788 x 214 ) / 84316

= 788 / 214

= 788

Step2:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

Step3:

LCM(2, 920) = 920

GCD(2, 920) = ( 2 x 920 ) / 920

= 2 / 920

= 2

So, Greatest Common Divisor of 788, 214, 122, 920 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 136, 500, 265, 538
• GCD of 900, 545, 713, 737
• GCD of 780, 119, 479, 229
• GCD of 716, 362, 726, 990
• GCD of 536, 426, 572, 458

Given numbers are 788, 214, 122, 920
The greatest common divisor of numbers 788, 214, 122, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 214, 122, 920 is 2.

1. What is the GCD of 788, 214, 122, 920?

GCD of given numbers 788, 214, 122, 920 is 2

2. How to calculate the greatest common divisor of 788, 214, 122, 920?

We can find the highest common divisor of 788, 214, 122, 920 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 788, 214, 122, 920 i.e 2.

3. How can I use the GCD of 788, 214, 122, 920Calculator?

Out the numbers 788, 214, 122, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.