GCD of 562, 132, 218, 824 Calculator

Given Input numbers are 562, 132, 218, 824

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (562, 132, 218, 824) = 2.

Given numbers are 562, 132, 218, 824

The list of prime factors of all numbers are

Prime factors of 562 are 2 x 281

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 218 are 2 x 109

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 562, 132, 218, 824 is 2.

Given numbers are 562, 132, 218, 824

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

Apply this formula for all numbers.

Step1:

LCM(562, 132) = 37092

GCD(562, 132) = ( 562 x 132 ) / 37092

= 562 / 132

= 562

Step2:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

Step3:

LCM(2, 824) = 824

GCD(2, 824) = ( 2 x 824 ) / 824

= 2 / 824

= 2

So, Greatest Common Divisor of 562, 132, 218, 824 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 446, 135, 933, 383
• GCD of 978, 388, 607, 587
• GCD of 688, 382, 139, 519
• GCD of 480, 989, 966, 582
• GCD of 424, 165, 969, 759

Given numbers are 562, 132, 218, 824
The greatest common divisor of numbers 562, 132, 218, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 562, 132, 218, 824 is 2.

1. What is the GCD of 562, 132, 218, 824?

GCD of given numbers 562, 132, 218, 824 is 2

2. How to calculate the greatest common divisor of 562, 132, 218, 824?

We can find the highest common divisor of 562, 132, 218, 824 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, 132, 218, 824 i.e 2.

3. How can I use the GCD of 562, 132, 218, 824Calculator?

Out the numbers 562, 132, 218, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.