GCD of 500, 126, 725, 496 Calculator

Given Input numbers are 500, 126, 725, 496

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 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

GCD of numbers is the greatest common divisor

So, the GCD (500, 126, 725, 496) = 1.

Given numbers are 500, 126, 725, 496

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 725 are 5 x 5 x 29

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

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

Given numbers are 500, 126, 725, 496

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, 725) = 1450

GCD(2, 725) = ( 2 x 725 ) / 1450

= 2 / 725

= 2

Step3:

LCM(1, 496) = 496

GCD(1, 496) = ( 1 x 496 ) / 496

= 1 / 496

= 1

So, Greatest Common Divisor of 500, 126, 725, 496 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 978, 923, 368
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• GCD of 923, 891, 121, 445

Given numbers are 500, 126, 725, 496
The greatest common divisor of numbers 500, 126, 725, 496 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 126, 725, 496 is 1.

1. What is the GCD of 500, 126, 725, 496?

GCD of given numbers 500, 126, 725, 496 is 1

2. How to calculate the greatest common divisor of 500, 126, 725, 496?

We can find the highest common divisor of 500, 126, 725, 496 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, 725, 496 i.e 1.

3. How can I use the GCD of 500, 126, 725, 496Calculator?

Out the numbers 500, 126, 725, 496 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.