GCD of 126, 399, 460, 456 Calculator

Given Input numbers are 126, 399, 460, 456

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

GCD of numbers is the greatest common divisor

So, the GCD (126, 399, 460, 456) = 1.

Given numbers are 126, 399, 460, 456

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 399 are 3 x 7 x 19

Prime factors of 460 are 2 x 2 x 5 x 23

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

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

Given numbers are 126, 399, 460, 456

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

Apply this formula for all numbers.

Step1:

LCM(126, 399) = 2394

GCD(126, 399) = ( 126 x 399 ) / 2394

= 126 / 399

= 126

Step2:

LCM(21, 460) = 9660

GCD(21, 460) = ( 21 x 460 ) / 9660

= 21 / 460

= 21

Step3:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

So, Greatest Common Divisor of 126, 399, 460, 456 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 830, 387, 745
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Given numbers are 126, 399, 460, 456
The greatest common divisor of numbers 126, 399, 460, 456 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 399, 460, 456 is 1.

1. What is the GCD of 126, 399, 460, 456?

GCD of given numbers 126, 399, 460, 456 is 1

2. How to calculate the greatest common divisor of 126, 399, 460, 456?

We can find the highest common divisor of 126, 399, 460, 456 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 126, 399, 460, 456 i.e 1.

3. How can I use the GCD of 126, 399, 460, 456Calculator?

Out the numbers 126, 399, 460, 456 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.