GCD of 506, 726, 126, 559 Calculator

Given Input numbers are 506, 726, 126, 559

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 559 :

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

1, 13, 43, 559

GCD of numbers is the greatest common divisor

So, the GCD (506, 726, 126, 559) = 1.

Given numbers are 506, 726, 126, 559

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 559 are 13 x 43

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

Given numbers are 506, 726, 126, 559

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

Apply this formula for all numbers.

Step1:

LCM(506, 726) = 16698

GCD(506, 726) = ( 506 x 726 ) / 16698

= 506 / 726

= 506

Step2:

LCM(22, 126) = 1386

GCD(22, 126) = ( 22 x 126 ) / 1386

= 22 / 126

= 22

Step3:

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

= 2 / 559

= 2

So, Greatest Common Divisor of 506, 726, 126, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 786, 951, 577
• GCD of 897, 682, 978, 718
• GCD of 633, 740, 559, 660
• GCD of 160, 671, 702, 786
• GCD of 720, 459, 377, 356

Given numbers are 506, 726, 126, 559
The greatest common divisor of numbers 506, 726, 126, 559 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 726, 126, 559 is 1.

1. What is the GCD of 506, 726, 126, 559?

GCD of given numbers 506, 726, 126, 559 is 1

2. How to calculate the greatest common divisor of 506, 726, 126, 559?

We can find the highest common divisor of 506, 726, 126, 559 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 506, 726, 126, 559 i.e 1.

3. How can I use the GCD of 506, 726, 126, 559Calculator?

Out the numbers 506, 726, 126, 559 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.