GCD of 402, 408, 646, 220 Calculator

Given Input numbers are 402, 408, 646, 220

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

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 646 :

The positive integer divisors of 646 that completely divides 646 are.

1, 2, 17, 19, 34, 38, 323, 646

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 (402, 408, 646, 220) = 2.

Given numbers are 402, 408, 646, 220

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 646 are 2 x 17 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 402, 408, 646, 220 is 2.

Given numbers are 402, 408, 646, 220

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

Apply this formula for all numbers.

Step1:

LCM(402, 408) = 27336

GCD(402, 408) = ( 402 x 408 ) / 27336

= 402 / 408

= 402

Step2:

LCM(6, 646) = 1938

GCD(6, 646) = ( 6 x 646 ) / 1938

= 6 / 646

= 6

Step3:

LCM(2, 220) = 220

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

= 2 / 220

= 2

So, Greatest Common Divisor of 402, 408, 646, 220 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 622, 869, 549
• GCD of 497, 574, 904, 617
• GCD of 932, 139, 268, 416
• GCD of 230, 653, 840, 279
• GCD of 169, 438, 528, 597

Given numbers are 402, 408, 646, 220
The greatest common divisor of numbers 402, 408, 646, 220 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 408, 646, 220 is 2.

1. What is the GCD of 402, 408, 646, 220?

GCD of given numbers 402, 408, 646, 220 is 2

2. How to calculate the greatest common divisor of 402, 408, 646, 220?

We can find the highest common divisor of 402, 408, 646, 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 402, 408, 646, 220 i.e 2.

3. How can I use the GCD of 402, 408, 646, 220Calculator?

Out the numbers 402, 408, 646, 220 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.