GCD of 456, 664, 24, 386 Calculator

Given Input numbers are 456, 664, 24, 386

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 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 386 :

The positive integer divisors of 386 that completely divides 386 are.

1, 2, 193, 386

GCD of numbers is the greatest common divisor

So, the GCD (456, 664, 24, 386) = 2.

Given numbers are 456, 664, 24, 386

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 664 are 2 x 2 x 2 x 83

Prime factors of 24 are 2 x 2 x 2 x 3

Prime factors of 386 are 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 456, 664, 24, 386 is 2.

Given numbers are 456, 664, 24, 386

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

Apply this formula for all numbers.

Step1:

LCM(456, 664) = 37848

GCD(456, 664) = ( 456 x 664 ) / 37848

= 456 / 664

= 456

Step2:

LCM(8, 24) = 24

GCD(8, 24) = ( 8 x 24 ) / 24

= 8 / 24

= 8

Step3:

LCM(8, 386) = 1544

GCD(8, 386) = ( 8 x 386 ) / 1544

= 8 / 386

= 8

So, Greatest Common Divisor of 456, 664, 24, 386 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 551, 206, 61, 483
• GCD of 532, 676, 49, 316
• GCD of 775, 914, 71, 876
• GCD of 850, 309, 10, 986
• GCD of 981, 503, 39, 628

Given numbers are 456, 664, 24, 386
The greatest common divisor of numbers 456, 664, 24, 386 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 664, 24, 386 is 2.

1. What is the GCD of 456, 664, 24, 386?

GCD of given numbers 456, 664, 24, 386 is 2

2. How to calculate the greatest common divisor of 456, 664, 24, 386?

We can find the highest common divisor of 456, 664, 24, 386 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, 664, 24, 386 i.e 2.

3. How can I use the GCD of 456, 664, 24, 386Calculator?

Out the numbers 456, 664, 24, 386 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.