GCD of 920, 590, 414, 388 Calculator

Given Input numbers are 920, 590, 414, 388

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

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

GCD of numbers is the greatest common divisor

So, the GCD (920, 590, 414, 388) = 2.

Given numbers are 920, 590, 414, 388

The list of prime factors of all numbers are

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

Prime factors of 590 are 2 x 5 x 59

Prime factors of 414 are 2 x 3 x 3 x 23

Prime factors of 388 are 2 x 2 x 97

The highest common occurrence is 2¹

Therefore, GCD of 920, 590, 414, 388 is 2.

Given numbers are 920, 590, 414, 388

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

Apply this formula for all numbers.

Step1:

LCM(920, 590) = 54280

GCD(920, 590) = ( 920 x 590 ) / 54280

= 920 / 590

= 920

Step2:

LCM(10, 414) = 2070

GCD(10, 414) = ( 10 x 414 ) / 2070

= 10 / 414

= 10

Step3:

LCM(2, 388) = 388

GCD(2, 388) = ( 2 x 388 ) / 388

= 2 / 388

= 2

So, Greatest Common Divisor of 920, 590, 414, 388 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 875, 884, 457
• GCD of 836, 961, 313, 332
• GCD of 869, 521, 659, 522
• GCD of 384, 117, 952, 632
• GCD of 656, 124, 321, 394

Given numbers are 920, 590, 414, 388
The greatest common divisor of numbers 920, 590, 414, 388 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 590, 414, 388 is 2.

1. What is the GCD of 920, 590, 414, 388?

GCD of given numbers 920, 590, 414, 388 is 2

2. How to calculate the greatest common divisor of 920, 590, 414, 388?

We can find the highest common divisor of 920, 590, 414, 388 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 920, 590, 414, 388 i.e 2.

3. How can I use the GCD of 920, 590, 414, 388Calculator?

Out the numbers 920, 590, 414, 388 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.