GCD of 400, 418, 390, 313 Calculator

Given Input numbers are 400, 418, 390, 313

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 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (400, 418, 390, 313) = 1.

Given numbers are 400, 418, 390, 313

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 418 are 2 x 11 x 19

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 313 are 313

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 400, 418, 390, 313

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

Apply this formula for all numbers.

Step1:

LCM(400, 418) = 83600

GCD(400, 418) = ( 400 x 418 ) / 83600

= 400 / 418

= 400

Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

Step3:

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

= 2 / 313

= 2

So, Greatest Common Divisor of 400, 418, 390, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 184, 775, 955
• GCD of 894, 355, 619, 965
• GCD of 838, 111, 207, 871
• GCD of 627, 381, 369, 396
• GCD of 926, 927, 945, 341

Given numbers are 400, 418, 390, 313
The greatest common divisor of numbers 400, 418, 390, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 418, 390, 313 is 1.

1. What is the GCD of 400, 418, 390, 313?

GCD of given numbers 400, 418, 390, 313 is 1

2. How to calculate the greatest common divisor of 400, 418, 390, 313?

We can find the highest common divisor of 400, 418, 390, 313 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, 418, 390, 313 i.e 1.

3. How can I use the GCD of 400, 418, 390, 313Calculator?

Out the numbers 400, 418, 390, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.