GCD of 524, 498, 634, 600 Calculator

Given Input numbers are 524, 498, 634, 600

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 498 :

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

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

Divisors of 634 :

The positive integer divisors of 634 that completely divides 634 are.

1, 2, 317, 634

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

GCD of numbers is the greatest common divisor

So, the GCD (524, 498, 634, 600) = 2.

Given numbers are 524, 498, 634, 600

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 498 are 2 x 3 x 83

Prime factors of 634 are 2 x 317

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 524, 498, 634, 600 is 2.

Given numbers are 524, 498, 634, 600

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

Apply this formula for all numbers.

Step1:

LCM(524, 498) = 130476

GCD(524, 498) = ( 524 x 498 ) / 130476

= 524 / 498

= 524

Step2:

LCM(2, 634) = 634

GCD(2, 634) = ( 2 x 634 ) / 634

= 2 / 634

= 2

Step3:

LCM(2, 600) = 600

GCD(2, 600) = ( 2 x 600 ) / 600

= 2 / 600

= 2

So, Greatest Common Divisor of 524, 498, 634, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 425, 430, 394, 848
• GCD of 474, 724, 676, 699
• GCD of 342, 275, 561, 606
• GCD of 364, 116, 215, 393
• GCD of 164, 341, 923, 844

Given numbers are 524, 498, 634, 600
The greatest common divisor of numbers 524, 498, 634, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 498, 634, 600 is 2.

1. What is the GCD of 524, 498, 634, 600?

GCD of given numbers 524, 498, 634, 600 is 2

2. How to calculate the greatest common divisor of 524, 498, 634, 600?

We can find the highest common divisor of 524, 498, 634, 600 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 524, 498, 634, 600 i.e 2.

3. How can I use the GCD of 524, 498, 634, 600Calculator?

Out the numbers 524, 498, 634, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.