GCD of 559, 107, 504, 460 Calculator

Given Input numbers are 559, 107, 504, 460

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

Divisors of 559 :

The positive integer divisors of 559 that completely divides 559 are.

1, 13, 43, 559

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (559, 107, 504, 460) = 1.

Given numbers are 559, 107, 504, 460

The list of prime factors of all numbers are

Prime factors of 559 are 13 x 43

Prime factors of 107 are 107

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 559, 107, 504, 460

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

Apply this formula for all numbers.

Step1:

LCM(559, 107) = 59813

GCD(559, 107) = ( 559 x 107 ) / 59813

= 559 / 107

= 559

Step2:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1

Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

So, Greatest Common Divisor of 559, 107, 504, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 742, 148, 424, 769
• GCD of 860, 964, 367, 168
• GCD of 871, 481, 298, 268
• GCD of 232, 879, 946, 707
• GCD of 552, 744, 463, 301

Given numbers are 559, 107, 504, 460
The greatest common divisor of numbers 559, 107, 504, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 559, 107, 504, 460 is 1.

1. What is the GCD of 559, 107, 504, 460?

GCD of given numbers 559, 107, 504, 460 is 1

2. How to calculate the greatest common divisor of 559, 107, 504, 460?

We can find the highest common divisor of 559, 107, 504, 460 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 559, 107, 504, 460 i.e 1.

3. How can I use the GCD of 559, 107, 504, 460Calculator?

Out the numbers 559, 107, 504, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.