GCD of 400, 280, 602, 394 Calculator

Given Input numbers are 400, 280, 602, 394

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 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

GCD of numbers is the greatest common divisor

So, the GCD (400, 280, 602, 394) = 2.

Given numbers are 400, 280, 602, 394

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 280 are 2 x 2 x 2 x 5 x 7

Prime factors of 602 are 2 x 7 x 43

Prime factors of 394 are 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 400, 280, 602, 394 is 2.

Given numbers are 400, 280, 602, 394

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

Apply this formula for all numbers.

Step1:

LCM(400, 280) = 2800

GCD(400, 280) = ( 400 x 280 ) / 2800

= 400 / 280

= 400

Step2:

LCM(40, 602) = 12040

GCD(40, 602) = ( 40 x 602 ) / 12040

= 40 / 602

= 40

Step3:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

So, Greatest Common Divisor of 400, 280, 602, 394 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 612, 691, 735, 470
• GCD of 226, 355, 313, 432
• GCD of 108, 237, 805, 324
• GCD of 438, 742, 425, 394
• GCD of 444, 378, 763, 473

Given numbers are 400, 280, 602, 394
The greatest common divisor of numbers 400, 280, 602, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 280, 602, 394 is 2.

1. What is the GCD of 400, 280, 602, 394?

GCD of given numbers 400, 280, 602, 394 is 2

2. How to calculate the greatest common divisor of 400, 280, 602, 394?

We can find the highest common divisor of 400, 280, 602, 394 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, 280, 602, 394 i.e 2.

3. How can I use the GCD of 400, 280, 602, 394Calculator?

Out the numbers 400, 280, 602, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.