GCD of 462, 892, 428, 500 Calculator

Given Input numbers are 462, 892, 428, 500

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

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

GCD of numbers is the greatest common divisor

So, the GCD (462, 892, 428, 500) = 2.

Given numbers are 462, 892, 428, 500

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 892 are 2 x 2 x 223

Prime factors of 428 are 2 x 2 x 107

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

The highest common occurrence is 2¹

Therefore, GCD of 462, 892, 428, 500 is 2.

Given numbers are 462, 892, 428, 500

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

Apply this formula for all numbers.

Step1:

LCM(462, 892) = 206052

GCD(462, 892) = ( 462 x 892 ) / 206052

= 462 / 892

= 462

Step2:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

Step3:

LCM(2, 500) = 500

GCD(2, 500) = ( 2 x 500 ) / 500

= 2 / 500

= 2

So, Greatest Common Divisor of 462, 892, 428, 500 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 601, 232, 548
• GCD of 381, 624, 988, 314
• GCD of 100, 856, 996, 136
• GCD of 332, 184, 541, 694
• GCD of 498, 283, 977, 275

Given numbers are 462, 892, 428, 500
The greatest common divisor of numbers 462, 892, 428, 500 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 892, 428, 500 is 2.

1. What is the GCD of 462, 892, 428, 500?

GCD of given numbers 462, 892, 428, 500 is 2

2. How to calculate the greatest common divisor of 462, 892, 428, 500?

We can find the highest common divisor of 462, 892, 428, 500 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 462, 892, 428, 500 i.e 2.

3. How can I use the GCD of 462, 892, 428, 500Calculator?

Out the numbers 462, 892, 428, 500 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.