GCD of 438, 520, 690, 285 Calculator

Given Input numbers are 438, 520, 690, 285

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 285 :

The positive integer divisors of 285 that completely divides 285 are.

1, 3, 5, 15, 19, 57, 95, 285

GCD of numbers is the greatest common divisor

So, the GCD (438, 520, 690, 285) = 1.

Given numbers are 438, 520, 690, 285

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 285 are 3 x 5 x 19

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

Given numbers are 438, 520, 690, 285

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

Apply this formula for all numbers.

Step1:

LCM(438, 520) = 113880

GCD(438, 520) = ( 438 x 520 ) / 113880

= 438 / 520

= 438

Step2:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

Step3:

LCM(2, 285) = 570

GCD(2, 285) = ( 2 x 285 ) / 570

= 2 / 285

= 2

So, Greatest Common Divisor of 438, 520, 690, 285 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 687, 715, 278
• GCD of 267, 731, 989, 447
• GCD of 142, 413, 203, 792
• GCD of 715, 508, 254, 561
• GCD of 918, 715, 241, 906

Given numbers are 438, 520, 690, 285
The greatest common divisor of numbers 438, 520, 690, 285 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 520, 690, 285 is 1.

1. What is the GCD of 438, 520, 690, 285?

GCD of given numbers 438, 520, 690, 285 is 1

2. How to calculate the greatest common divisor of 438, 520, 690, 285?

We can find the highest common divisor of 438, 520, 690, 285 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 438, 520, 690, 285 i.e 1.

3. How can I use the GCD of 438, 520, 690, 285Calculator?

Out the numbers 438, 520, 690, 285 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.