GCD of 562, 516, 78, 442 Calculator

Given Input numbers are 562, 516, 78, 442

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 442 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (562, 516, 78, 442) = 2.

Given numbers are 562, 516, 78, 442

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 78 are 2 x 3 x 13

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 562, 516, 78, 442 is 2.

Given numbers are 562, 516, 78, 442

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

Apply this formula for all numbers.

Step1:

LCM(562, 516) = 144996

GCD(562, 516) = ( 562 x 516 ) / 144996

= 562 / 516

= 562

Step2:

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

= 2 / 78

= 2

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 562, 516, 78, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 516, 78, 440
• GCD of 348, 773, 83, 699
• GCD of 917, 603, 90, 848
• GCD of 946, 600, 75, 137
• GCD of 339, 684, 34, 627

Given numbers are 562, 516, 78, 442
The greatest common divisor of numbers 562, 516, 78, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 516, 78, 442 is 2.

1. What is the GCD of 562, 516, 78, 442?

GCD of given numbers 562, 516, 78, 442 is 2

2. How to calculate the greatest common divisor of 562, 516, 78, 442?

We can find the highest common divisor of 562, 516, 78, 442 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 562, 516, 78, 442 i.e 2.

3. How can I use the GCD of 562, 516, 78, 442Calculator?

Out the numbers 562, 516, 78, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.