GCD of 500, 914, 835, 162 Calculator

Given Input numbers are 500, 914, 835, 162

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 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 835 :

The positive integer divisors of 835 that completely divides 835 are.

1, 5, 167, 835

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (500, 914, 835, 162) = 1.

Given numbers are 500, 914, 835, 162

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 914 are 2 x 457

Prime factors of 835 are 5 x 167

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Given numbers are 500, 914, 835, 162

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

Apply this formula for all numbers.

Step1:

LCM(500, 914) = 228500

GCD(500, 914) = ( 500 x 914 ) / 228500

= 500 / 914

= 500

Step2:

LCM(2, 835) = 1670

GCD(2, 835) = ( 2 x 835 ) / 1670

= 2 / 835

= 2

Step3:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1

So, Greatest Common Divisor of 500, 914, 835, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 650, 902, 211
• GCD of 575, 387, 251, 552
• GCD of 325, 745, 608, 728
• GCD of 752, 300, 809, 915
• GCD of 185, 479, 550, 277

Given numbers are 500, 914, 835, 162
The greatest common divisor of numbers 500, 914, 835, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 914, 835, 162 is 1.

1. What is the GCD of 500, 914, 835, 162?

GCD of given numbers 500, 914, 835, 162 is 1

2. How to calculate the greatest common divisor of 500, 914, 835, 162?

We can find the highest common divisor of 500, 914, 835, 162 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, 914, 835, 162 i.e 1.

3. How can I use the GCD of 500, 914, 835, 162Calculator?

Out the numbers 500, 914, 835, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.