GCD of 104, 272, 563, 724 Calculator

Given Input numbers are 104, 272, 563, 724

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

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 563 :

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

1, 563

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (104, 272, 563, 724) = 1.

Given numbers are 104, 272, 563, 724

The list of prime factors of all numbers are

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 563 are 563

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 104, 272, 563, 724

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

Apply this formula for all numbers.

Step1:

LCM(104, 272) = 3536

GCD(104, 272) = ( 104 x 272 ) / 3536

= 104 / 272

= 104

Step2:

LCM(8, 563) = 4504

GCD(8, 563) = ( 8 x 563 ) / 4504

= 8 / 563

= 8

Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

So, Greatest Common Divisor of 104, 272, 563, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 288, 578, 769, 306
• GCD of 249, 628, 167, 640
• GCD of 914, 428, 885, 447
• GCD of 784, 173, 610, 516
• GCD of 612, 711, 379, 655

Given numbers are 104, 272, 563, 724
The greatest common divisor of numbers 104, 272, 563, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 272, 563, 724 is 1.

1. What is the GCD of 104, 272, 563, 724?

GCD of given numbers 104, 272, 563, 724 is 1

2. How to calculate the greatest common divisor of 104, 272, 563, 724?

We can find the highest common divisor of 104, 272, 563, 724 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 104, 272, 563, 724 i.e 1.

3. How can I use the GCD of 104, 272, 563, 724Calculator?

Out the numbers 104, 272, 563, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.