GCD of 506, 570, 632, 498 Calculator

Given Input numbers are 506, 570, 632, 498

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

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 632 :

The positive integer divisors of 632 that completely divides 632 are.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

GCD of numbers is the greatest common divisor

So, the GCD (506, 570, 632, 498) = 2.

Given numbers are 506, 570, 632, 498

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 632 are 2 x 2 x 2 x 79

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 506, 570, 632, 498 is 2.

Given numbers are 506, 570, 632, 498

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

Apply this formula for all numbers.

Step1:

LCM(506, 570) = 144210

GCD(506, 570) = ( 506 x 570 ) / 144210

= 506 / 570

= 506

Step2:

LCM(2, 632) = 632

GCD(2, 632) = ( 2 x 632 ) / 632

= 2 / 632

= 2

Step3:

LCM(2, 498) = 498

GCD(2, 498) = ( 2 x 498 ) / 498

= 2 / 498

= 2

So, Greatest Common Divisor of 506, 570, 632, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 827, 732, 191
• GCD of 869, 344, 275, 254
• GCD of 524, 337, 853, 210
• GCD of 549, 251, 732, 653
• GCD of 789, 869, 642, 714

Given numbers are 506, 570, 632, 498
The greatest common divisor of numbers 506, 570, 632, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 570, 632, 498 is 2.

1. What is the GCD of 506, 570, 632, 498?

GCD of given numbers 506, 570, 632, 498 is 2

2. How to calculate the greatest common divisor of 506, 570, 632, 498?

We can find the highest common divisor of 506, 570, 632, 498 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 506, 570, 632, 498 i.e 2.

3. How can I use the GCD of 506, 570, 632, 498Calculator?

Out the numbers 506, 570, 632, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.