GCD of 500, 212, 242, 898 Calculator

Given Input numbers are 500, 212, 242, 898

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 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (500, 212, 242, 898) = 2.

Given numbers are 500, 212, 242, 898

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 212 are 2 x 2 x 53

Prime factors of 242 are 2 x 11 x 11

Prime factors of 898 are 2 x 449

The highest common occurrence is 2¹

Therefore, GCD of 500, 212, 242, 898 is 2.

Given numbers are 500, 212, 242, 898

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

Apply this formula for all numbers.

Step1:

LCM(500, 212) = 26500

GCD(500, 212) = ( 500 x 212 ) / 26500

= 500 / 212

= 500

Step2:

LCM(4, 242) = 484

GCD(4, 242) = ( 4 x 242 ) / 484

= 4 / 242

= 4

Step3:

LCM(2, 898) = 898

GCD(2, 898) = ( 2 x 898 ) / 898

= 2 / 898

= 2

So, Greatest Common Divisor of 500, 212, 242, 898 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 253, 601, 110, 725
• GCD of 692, 527, 704, 159
• GCD of 589, 973, 348, 193
• GCD of 204, 938, 774, 262
• GCD of 612, 456, 168, 651

Given numbers are 500, 212, 242, 898
The greatest common divisor of numbers 500, 212, 242, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 212, 242, 898 is 2.

1. What is the GCD of 500, 212, 242, 898?

GCD of given numbers 500, 212, 242, 898 is 2

2. How to calculate the greatest common divisor of 500, 212, 242, 898?

We can find the highest common divisor of 500, 212, 242, 898 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, 212, 242, 898 i.e 2.

3. How can I use the GCD of 500, 212, 242, 898Calculator?

Out the numbers 500, 212, 242, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.