GCD of 105, 563, 664, 228 Calculator

Given Input numbers are 105, 563, 664, 228

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

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (105, 563, 664, 228) = 1.

Given numbers are 105, 563, 664, 228

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 563 are 563

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 228 are 2 x 2 x 3 x 19

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

Given numbers are 105, 563, 664, 228

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

Apply this formula for all numbers.

Step1:

LCM(105, 563) = 59115

GCD(105, 563) = ( 105 x 563 ) / 59115

= 105 / 563

= 105

Step2:

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

= 1 / 664

= 1

Step3:

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

= 1 / 228

= 1

So, Greatest Common Divisor of 105, 563, 664, 228 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 952, 161, 976, 340
• GCD of 231, 593, 652, 927
• GCD of 197, 990, 857, 327
• GCD of 375, 476, 176, 900
• GCD of 771, 541, 116, 171

Given numbers are 105, 563, 664, 228
The greatest common divisor of numbers 105, 563, 664, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 563, 664, 228 is 1.

1. What is the GCD of 105, 563, 664, 228?

GCD of given numbers 105, 563, 664, 228 is 1

2. How to calculate the greatest common divisor of 105, 563, 664, 228?

We can find the highest common divisor of 105, 563, 664, 228 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 105, 563, 664, 228 i.e 1.

3. How can I use the GCD of 105, 563, 664, 228Calculator?

Out the numbers 105, 563, 664, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.