GCD of 400, 496, 598, 600 Calculator

Given Input numbers are 400, 496, 598, 600

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

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

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 (400, 496, 598, 600) = 2.

Given numbers are 400, 496, 598, 600

The list of prime factors of all numbers are

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 598 are 2 x 13 x 23

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 400, 496, 598, 600 is 2.

Given numbers are 400, 496, 598, 600

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

Apply this formula for all numbers.

Step1:

LCM(400, 496) = 12400

GCD(400, 496) = ( 400 x 496 ) / 12400

= 400 / 496

= 400

Step2:

LCM(16, 598) = 4784

GCD(16, 598) = ( 16 x 598 ) / 4784

= 16 / 598

= 16

Step3:

LCM(2, 600) = 600

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

= 2 / 600

= 2

So, Greatest Common Divisor of 400, 496, 598, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 545, 390, 336
• GCD of 110, 246, 903, 366
• GCD of 242, 801, 191, 862
• GCD of 763, 705, 418, 546
• GCD of 852, 151, 225, 610

Given numbers are 400, 496, 598, 600
The greatest common divisor of numbers 400, 496, 598, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 496, 598, 600 is 2.

1. What is the GCD of 400, 496, 598, 600?

GCD of given numbers 400, 496, 598, 600 is 2

2. How to calculate the greatest common divisor of 400, 496, 598, 600?

We can find the highest common divisor of 400, 496, 598, 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 400, 496, 598, 600 i.e 2.

3. How can I use the GCD of 400, 496, 598, 600Calculator?

Out the numbers 400, 496, 598, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.