GCD of 402, 966, 392, 206 Calculator

Given Input numbers are 402, 966, 392, 206

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 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

GCD of numbers is the greatest common divisor

So, the GCD (402, 966, 392, 206) = 2.

Given numbers are 402, 966, 392, 206

The list of prime factors of all numbers are

Prime factors of 402 are 2 x 3 x 67

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 206 are 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 402, 966, 392, 206 is 2.

Given numbers are 402, 966, 392, 206

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

Apply this formula for all numbers.

Step1:

LCM(402, 966) = 64722

GCD(402, 966) = ( 402 x 966 ) / 64722

= 402 / 966

= 402

Step2:

LCM(6, 392) = 1176

GCD(6, 392) = ( 6 x 392 ) / 1176

= 6 / 392

= 6

Step3:

LCM(2, 206) = 206

GCD(2, 206) = ( 2 x 206 ) / 206

= 2 / 206

= 2

So, Greatest Common Divisor of 402, 966, 392, 206 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 328, 576, 130
• GCD of 326, 694, 653, 835
• GCD of 766, 483, 565, 158
• GCD of 621, 481, 393, 807
• GCD of 292, 991, 553, 782

Given numbers are 402, 966, 392, 206
The greatest common divisor of numbers 402, 966, 392, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 402, 966, 392, 206 is 2.

1. What is the GCD of 402, 966, 392, 206?

GCD of given numbers 402, 966, 392, 206 is 2

2. How to calculate the greatest common divisor of 402, 966, 392, 206?

We can find the highest common divisor of 402, 966, 392, 206 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, 966, 392, 206 i.e 2.

3. How can I use the GCD of 402, 966, 392, 206Calculator?

Out the numbers 402, 966, 392, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.