GCD of 198, 562, 564, 507 Calculator

Given Input numbers are 198, 562, 564, 507

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 562 :

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

1, 2, 281, 562

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 507 :

The positive integer divisors of 507 that completely divides 507 are.

1, 3, 13, 39, 169, 507

GCD of numbers is the greatest common divisor

So, the GCD (198, 562, 564, 507) = 1.

Given numbers are 198, 562, 564, 507

The list of prime factors of all numbers are

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 562 are 2 x 281

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 507 are 3 x 13 x 13

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

Given numbers are 198, 562, 564, 507

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

Apply this formula for all numbers.

Step1:

LCM(198, 562) = 55638

GCD(198, 562) = ( 198 x 562 ) / 55638

= 198 / 562

= 198

Step2:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

Step3:

LCM(2, 507) = 1014

GCD(2, 507) = ( 2 x 507 ) / 1014

= 2 / 507

= 2

So, Greatest Common Divisor of 198, 562, 564, 507 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 244, 941, 196, 562
• GCD of 405, 576, 372, 953
• GCD of 802, 537, 701, 590
• GCD of 610, 142, 363, 569
• GCD of 139, 400, 679, 610

Given numbers are 198, 562, 564, 507
The greatest common divisor of numbers 198, 562, 564, 507 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 198, 562, 564, 507 is 1.

1. What is the GCD of 198, 562, 564, 507?

GCD of given numbers 198, 562, 564, 507 is 1

2. How to calculate the greatest common divisor of 198, 562, 564, 507?

We can find the highest common divisor of 198, 562, 564, 507 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 198, 562, 564, 507 i.e 1.

3. How can I use the GCD of 198, 562, 564, 507Calculator?

Out the numbers 198, 562, 564, 507 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.