GCD of 422, 780, 774, 220 Calculator

Given Input numbers are 422, 780, 774, 220

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

GCD of numbers is the greatest common divisor

So, the GCD (422, 780, 774, 220) = 2.

Given numbers are 422, 780, 774, 220

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 220 are 2 x 2 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 422, 780, 774, 220 is 2.

Given numbers are 422, 780, 774, 220

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

Apply this formula for all numbers.

Step1:

LCM(422, 780) = 164580

GCD(422, 780) = ( 422 x 780 ) / 164580

= 422 / 780

= 422

Step2:

LCM(2, 774) = 774

GCD(2, 774) = ( 2 x 774 ) / 774

= 2 / 774

= 2

Step3:

LCM(2, 220) = 220

GCD(2, 220) = ( 2 x 220 ) / 220

= 2 / 220

= 2

So, Greatest Common Divisor of 422, 780, 774, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 600, 624, 754, 347
• GCD of 826, 574, 743, 657
• GCD of 343, 620, 516, 715
• GCD of 956, 734, 982, 894
• GCD of 551, 413, 957, 359

Given numbers are 422, 780, 774, 220
The greatest common divisor of numbers 422, 780, 774, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 780, 774, 220 is 2.

1. What is the GCD of 422, 780, 774, 220?

GCD of given numbers 422, 780, 774, 220 is 2

2. How to calculate the greatest common divisor of 422, 780, 774, 220?

We can find the highest common divisor of 422, 780, 774, 220 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 422, 780, 774, 220 i.e 2.

3. How can I use the GCD of 422, 780, 774, 220Calculator?

Out the numbers 422, 780, 774, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.