GCD of 456, 492, 966, 398 Calculator

Given Input numbers are 456, 492, 966, 398

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

GCD of numbers is the greatest common divisor

So, the GCD (456, 492, 966, 398) = 2.

Given numbers are 456, 492, 966, 398

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 492 are 2 x 2 x 3 x 41

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

Prime factors of 398 are 2 x 199

The highest common occurrence is 2¹

Therefore, GCD of 456, 492, 966, 398 is 2.

Given numbers are 456, 492, 966, 398

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

Apply this formula for all numbers.

Step1:

LCM(456, 492) = 18696

GCD(456, 492) = ( 456 x 492 ) / 18696

= 456 / 492

= 456

Step2:

LCM(12, 966) = 1932

GCD(12, 966) = ( 12 x 966 ) / 1932

= 12 / 966

= 12

Step3:

LCM(6, 398) = 1194

GCD(6, 398) = ( 6 x 398 ) / 1194

= 6 / 398

= 6

So, Greatest Common Divisor of 456, 492, 966, 398 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 743, 771, 694
• GCD of 895, 596, 150, 289
• GCD of 850, 682, 547, 987
• GCD of 932, 124, 586, 382
• GCD of 533, 527, 124, 333

Given numbers are 456, 492, 966, 398
The greatest common divisor of numbers 456, 492, 966, 398 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 492, 966, 398 is 2.

1. What is the GCD of 456, 492, 966, 398?

GCD of given numbers 456, 492, 966, 398 is 2

2. How to calculate the greatest common divisor of 456, 492, 966, 398?

We can find the highest common divisor of 456, 492, 966, 398 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 456, 492, 966, 398 i.e 2.

3. How can I use the GCD of 456, 492, 966, 398Calculator?

Out the numbers 456, 492, 966, 398 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.