GCD of 384, 456, 149, 962 Calculator

Given Input numbers are 384, 456, 149, 962

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

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 149 :

The positive integer divisors of 149 that completely divides 149 are.

1, 149

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

GCD of numbers is the greatest common divisor

So, the GCD (384, 456, 149, 962) = 1.

Given numbers are 384, 456, 149, 962

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

Prime factors of 149 are 149

Prime factors of 962 are 2 x 13 x 37

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 384, 456, 149, 962

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

Apply this formula for all numbers.

Step1:

LCM(384, 456) = 7296

GCD(384, 456) = ( 384 x 456 ) / 7296

= 384 / 456

= 384

Step2:

LCM(24, 149) = 3576

GCD(24, 149) = ( 24 x 149 ) / 3576

= 24 / 149

= 24

Step3:

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

= 1 / 962

= 1

So, Greatest Common Divisor of 384, 456, 149, 962 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 198, 472, 857, 296
• GCD of 418, 891, 280, 381
• GCD of 621, 680, 832, 101
• GCD of 357, 511, 762, 263
• GCD of 732, 845, 649, 810

Given numbers are 384, 456, 149, 962
The greatest common divisor of numbers 384, 456, 149, 962 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 456, 149, 962 is 1.

1. What is the GCD of 384, 456, 149, 962?

GCD of given numbers 384, 456, 149, 962 is 1

2. How to calculate the greatest common divisor of 384, 456, 149, 962?

We can find the highest common divisor of 384, 456, 149, 962 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 384, 456, 149, 962 i.e 1.

3. How can I use the GCD of 384, 456, 149, 962Calculator?

Out the numbers 384, 456, 149, 962 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.