GCD of 500, 126, 561, 739 Calculator

Given Input numbers are 500, 126, 561, 739

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

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 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 739 :

The positive integer divisors of 739 that completely divides 739 are.

1, 739

GCD of numbers is the greatest common divisor

So, the GCD (500, 126, 561, 739) = 1.

Given numbers are 500, 126, 561, 739

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

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

Prime factors of 561 are 3 x 11 x 17

Prime factors of 739 are 739

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

Given numbers are 500, 126, 561, 739

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

Apply this formula for all numbers.

Step1:

LCM(500, 126) = 31500

GCD(500, 126) = ( 500 x 126 ) / 31500

= 500 / 126

= 500

Step2:

LCM(2, 561) = 1122

GCD(2, 561) = ( 2 x 561 ) / 1122

= 2 / 561

= 2

Step3:

LCM(1, 739) = 739

GCD(1, 739) = ( 1 x 739 ) / 739

= 1 / 739

= 1

So, Greatest Common Divisor of 500, 126, 561, 739 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 188, 828, 477
• GCD of 778, 732, 525, 203
• GCD of 392, 288, 862, 534
• GCD of 532, 999, 914, 737
• GCD of 788, 818, 711, 645

Given numbers are 500, 126, 561, 739
The greatest common divisor of numbers 500, 126, 561, 739 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 126, 561, 739 is 1.

1. What is the GCD of 500, 126, 561, 739?

GCD of given numbers 500, 126, 561, 739 is 1

2. How to calculate the greatest common divisor of 500, 126, 561, 739?

We can find the highest common divisor of 500, 126, 561, 739 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 500, 126, 561, 739 i.e 1.

3. How can I use the GCD of 500, 126, 561, 739Calculator?

Out the numbers 500, 126, 561, 739 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.