GCD of 416, 438, 520, 567 Calculator

Given Input numbers are 416, 438, 520, 567

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

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (416, 438, 520, 567) = 1.

Given numbers are 416, 438, 520, 567

The list of prime factors of all numbers are

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 438 are 2 x 3 x 73

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

Given numbers are 416, 438, 520, 567

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

Apply this formula for all numbers.

Step1:

LCM(416, 438) = 91104

GCD(416, 438) = ( 416 x 438 ) / 91104

= 416 / 438

= 416

Step2:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2

Step3:

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

= 2 / 567

= 2

So, Greatest Common Divisor of 416, 438, 520, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 329, 984, 394, 508
• GCD of 693, 600, 485, 706
• GCD of 697, 861, 937, 885
• GCD of 853, 606, 868, 162
• GCD of 704, 946, 509, 846

Given numbers are 416, 438, 520, 567
The greatest common divisor of numbers 416, 438, 520, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 416, 438, 520, 567 is 1.

1. What is the GCD of 416, 438, 520, 567?

GCD of given numbers 416, 438, 520, 567 is 1

2. How to calculate the greatest common divisor of 416, 438, 520, 567?

We can find the highest common divisor of 416, 438, 520, 567 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 416, 438, 520, 567 i.e 1.

3. How can I use the GCD of 416, 438, 520, 567Calculator?

Out the numbers 416, 438, 520, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.