GCD of 500, 904, 542, 126 Calculator

Given Input numbers are 500, 904, 542, 126

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 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

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

GCD of numbers is the greatest common divisor

So, the GCD (500, 904, 542, 126) = 2.

Given numbers are 500, 904, 542, 126

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 904 are 2 x 2 x 2 x 113

Prime factors of 542 are 2 x 271

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

The highest common occurrence is 2¹

Therefore, GCD of 500, 904, 542, 126 is 2.

Given numbers are 500, 904, 542, 126

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

Apply this formula for all numbers.

Step1:

LCM(500, 904) = 113000

GCD(500, 904) = ( 500 x 904 ) / 113000

= 500 / 904

= 500

Step2:

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

= 4 / 542

= 4

Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

So, Greatest Common Divisor of 500, 904, 542, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 788, 689, 642, 939
• GCD of 541, 340, 265, 230
• GCD of 813, 111, 643, 582
• GCD of 830, 753, 379, 174
• GCD of 400, 962, 144, 285

Given numbers are 500, 904, 542, 126
The greatest common divisor of numbers 500, 904, 542, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 904, 542, 126 is 2.

1. What is the GCD of 500, 904, 542, 126?

GCD of given numbers 500, 904, 542, 126 is 2

2. How to calculate the greatest common divisor of 500, 904, 542, 126?

We can find the highest common divisor of 500, 904, 542, 126 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, 904, 542, 126 i.e 2.

3. How can I use the GCD of 500, 904, 542, 126Calculator?

Out the numbers 500, 904, 542, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.