GCD of 456, 520, 442, 354 Calculator

Given Input numbers are 456, 520, 442, 354

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 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 442 :

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

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

GCD of numbers is the greatest common divisor

So, the GCD (456, 520, 442, 354) = 2.

Given numbers are 456, 520, 442, 354

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 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 442 are 2 x 13 x 17

Prime factors of 354 are 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 456, 520, 442, 354 is 2.

Given numbers are 456, 520, 442, 354

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

Apply this formula for all numbers.

Step1:

LCM(456, 520) = 29640

GCD(456, 520) = ( 456 x 520 ) / 29640

= 456 / 520

= 456

Step2:

LCM(8, 442) = 1768

GCD(8, 442) = ( 8 x 442 ) / 1768

= 8 / 442

= 8

Step3:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

So, Greatest Common Divisor of 456, 520, 442, 354 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 904, 238, 395, 464
• GCD of 295, 743, 855, 236
• GCD of 184, 256, 369, 194
• GCD of 726, 263, 280, 240
• GCD of 423, 828, 428, 739

Given numbers are 456, 520, 442, 354
The greatest common divisor of numbers 456, 520, 442, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 520, 442, 354 is 2.

1. What is the GCD of 456, 520, 442, 354?

GCD of given numbers 456, 520, 442, 354 is 2

2. How to calculate the greatest common divisor of 456, 520, 442, 354?

We can find the highest common divisor of 456, 520, 442, 354 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, 520, 442, 354 i.e 2.

3. How can I use the GCD of 456, 520, 442, 354Calculator?

Out the numbers 456, 520, 442, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.