GCD of 387, 456, 565, 198 Calculator

Given Input numbers are 387, 456, 565, 198

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

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

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 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

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

GCD of numbers is the greatest common divisor

So, the GCD (387, 456, 565, 198) = 1.

Given numbers are 387, 456, 565, 198

The list of prime factors of all numbers are

Prime factors of 387 are 3 x 3 x 43

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 565 are 5 x 113

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

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

Given numbers are 387, 456, 565, 198

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

Apply this formula for all numbers.

Step1:

LCM(387, 456) = 58824

GCD(387, 456) = ( 387 x 456 ) / 58824

= 387 / 456

= 387

Step2:

LCM(3, 565) = 1695

GCD(3, 565) = ( 3 x 565 ) / 1695

= 3 / 565

= 3

Step3:

LCM(1, 198) = 198

GCD(1, 198) = ( 1 x 198 ) / 198

= 1 / 198

= 1

So, Greatest Common Divisor of 387, 456, 565, 198 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 436, 467, 701, 943
• GCD of 320, 413, 392, 301
• GCD of 260, 317, 111, 684
• GCD of 766, 632, 810, 119
• GCD of 215, 392, 536, 951

Given numbers are 387, 456, 565, 198
The greatest common divisor of numbers 387, 456, 565, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 387, 456, 565, 198 is 1.

1. What is the GCD of 387, 456, 565, 198?

GCD of given numbers 387, 456, 565, 198 is 1

2. How to calculate the greatest common divisor of 387, 456, 565, 198?

We can find the highest common divisor of 387, 456, 565, 198 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 387, 456, 565, 198 i.e 1.

3. How can I use the GCD of 387, 456, 565, 198Calculator?

Out the numbers 387, 456, 565, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.