GCD of 456, 442, 676, 724 Calculator

Given Input numbers are 456, 442, 676, 724

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (456, 442, 676, 724) = 2.

Given numbers are 456, 442, 676, 724

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 442 are 2 x 13 x 17

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 456, 442, 676, 724 is 2.

Given numbers are 456, 442, 676, 724

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

Apply this formula for all numbers.

Step1:

LCM(456, 442) = 100776

GCD(456, 442) = ( 456 x 442 ) / 100776

= 456 / 442

= 456

Step2:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

Step3:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 456, 442, 676, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 434, 488, 856
• GCD of 441, 503, 790, 212
• GCD of 326, 106, 120, 842
• GCD of 187, 959, 876, 455
• GCD of 201, 130, 191, 911

Given numbers are 456, 442, 676, 724
The greatest common divisor of numbers 456, 442, 676, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 442, 676, 724 is 2.

1. What is the GCD of 456, 442, 676, 724?

GCD of given numbers 456, 442, 676, 724 is 2

2. How to calculate the greatest common divisor of 456, 442, 676, 724?

We can find the highest common divisor of 456, 442, 676, 724 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, 442, 676, 724 i.e 2.

3. How can I use the GCD of 456, 442, 676, 724Calculator?

Out the numbers 456, 442, 676, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.