GCD of 600, 474, 368, 498 Calculator

Given Input numbers are 600, 474, 368, 498

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

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

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

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 (600, 474, 368, 498) = 2.

Given numbers are 600, 474, 368, 498

The list of prime factors of all numbers are

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

Prime factors of 474 are 2 x 3 x 79

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

Prime factors of 498 are 2 x 3 x 83

The highest common occurrence is 2¹

Therefore, GCD of 600, 474, 368, 498 is 2.

Given numbers are 600, 474, 368, 498

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

Apply this formula for all numbers.

Step1:

LCM(600, 474) = 47400

GCD(600, 474) = ( 600 x 474 ) / 47400

= 600 / 474

= 600

Step2:

LCM(6, 368) = 1104

GCD(6, 368) = ( 6 x 368 ) / 1104

= 6 / 368

= 6

Step3:

LCM(2, 498) = 498

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

= 2 / 498

= 2

So, Greatest Common Divisor of 600, 474, 368, 498 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 400, 222, 618, 563
• GCD of 130, 444, 716, 774
• GCD of 237, 779, 181, 518
• GCD of 892, 466, 661, 135
• GCD of 791, 988, 873, 385

Given numbers are 600, 474, 368, 498
The greatest common divisor of numbers 600, 474, 368, 498 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 474, 368, 498 is 2.

1. What is the GCD of 600, 474, 368, 498?

GCD of given numbers 600, 474, 368, 498 is 2

2. How to calculate the greatest common divisor of 600, 474, 368, 498?

We can find the highest common divisor of 600, 474, 368, 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 600, 474, 368, 498 i.e 2.

3. How can I use the GCD of 600, 474, 368, 498Calculator?

Out the numbers 600, 474, 368, 498 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.