GCD of 456, 498, 366, 626 Calculator

Given Input numbers are 456, 498, 366, 626

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 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

GCD of numbers is the greatest common divisor

So, the GCD (456, 498, 366, 626) = 2.

Given numbers are 456, 498, 366, 626

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 498 are 2 x 3 x 83

Prime factors of 366 are 2 x 3 x 61

Prime factors of 626 are 2 x 313

The highest common occurrence is 2¹

Therefore, GCD of 456, 498, 366, 626 is 2.

Given numbers are 456, 498, 366, 626

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

Apply this formula for all numbers.

Step1:

LCM(456, 498) = 37848

GCD(456, 498) = ( 456 x 498 ) / 37848

= 456 / 498

= 456

Step2:

LCM(6, 366) = 366

GCD(6, 366) = ( 6 x 366 ) / 366

= 6 / 366

= 6

Step3:

LCM(6, 626) = 1878

GCD(6, 626) = ( 6 x 626 ) / 1878

= 6 / 626

= 6

So, Greatest Common Divisor of 456, 498, 366, 626 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 360, 387, 952
• GCD of 743, 460, 824, 961
• GCD of 566, 748, 887, 906
• GCD of 166, 627, 143, 263
• GCD of 472, 419, 583, 853

Given numbers are 456, 498, 366, 626
The greatest common divisor of numbers 456, 498, 366, 626 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 498, 366, 626 is 2.

1. What is the GCD of 456, 498, 366, 626?

GCD of given numbers 456, 498, 366, 626 is 2

2. How to calculate the greatest common divisor of 456, 498, 366, 626?

We can find the highest common divisor of 456, 498, 366, 626 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, 498, 366, 626 i.e 2.

3. How can I use the GCD of 456, 498, 366, 626Calculator?

Out the numbers 456, 498, 366, 626 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.