GCD of 408, 398, 376, 600 Calculator

Given Input numbers are 408, 398, 376, 600

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 376 :

The positive integer divisors of 376 that completely divides 376 are.

1, 2, 4, 8, 47, 94, 188, 376

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 (408, 398, 376, 600) = 2.

Given numbers are 408, 398, 376, 600

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 398 are 2 x 199

Prime factors of 376 are 2 x 2 x 2 x 47

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 408, 398, 376, 600 is 2.

Given numbers are 408, 398, 376, 600

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

Apply this formula for all numbers.

Step1:

LCM(408, 398) = 81192

GCD(408, 398) = ( 408 x 398 ) / 81192

= 408 / 398

= 408

Step2:

LCM(2, 376) = 376

GCD(2, 376) = ( 2 x 376 ) / 376

= 2 / 376

= 2

Step3:

LCM(2, 600) = 600

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

= 2 / 600

= 2

So, Greatest Common Divisor of 408, 398, 376, 600 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 295, 570, 189
• GCD of 928, 180, 700, 344
• GCD of 969, 610, 695, 265
• GCD of 675, 171, 338, 117
• GCD of 173, 298, 385, 370

Given numbers are 408, 398, 376, 600
The greatest common divisor of numbers 408, 398, 376, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 398, 376, 600 is 2.

1. What is the GCD of 408, 398, 376, 600?

GCD of given numbers 408, 398, 376, 600 is 2

2. How to calculate the greatest common divisor of 408, 398, 376, 600?

We can find the highest common divisor of 408, 398, 376, 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 408, 398, 376, 600 i.e 2.

3. How can I use the GCD of 408, 398, 376, 600Calculator?

Out the numbers 408, 398, 376, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.