GCD of 390, 575, 749, 284 Calculator

Given Input numbers are 390, 575, 749, 284

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

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 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 284 :

The positive integer divisors of 284 that completely divides 284 are.

1, 2, 4, 71, 142, 284

GCD of numbers is the greatest common divisor

So, the GCD (390, 575, 749, 284) = 1.

Given numbers are 390, 575, 749, 284

The list of prime factors of all numbers are

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

Prime factors of 575 are 5 x 5 x 23

Prime factors of 749 are 7 x 107

Prime factors of 284 are 2 x 2 x 71

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

Given numbers are 390, 575, 749, 284

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

Apply this formula for all numbers.

Step1:

LCM(390, 575) = 44850

GCD(390, 575) = ( 390 x 575 ) / 44850

= 390 / 575

= 390

Step2:

LCM(5, 749) = 3745

GCD(5, 749) = ( 5 x 749 ) / 3745

= 5 / 749

= 5

Step3:

LCM(1, 284) = 284

GCD(1, 284) = ( 1 x 284 ) / 284

= 1 / 284

= 1

So, Greatest Common Divisor of 390, 575, 749, 284 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 336, 458, 414
• GCD of 353, 481, 225, 614
• GCD of 890, 282, 989, 559
• GCD of 193, 185, 411, 263
• GCD of 230, 676, 610, 399

Given numbers are 390, 575, 749, 284
The greatest common divisor of numbers 390, 575, 749, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 575, 749, 284 is 1.

1. What is the GCD of 390, 575, 749, 284?

GCD of given numbers 390, 575, 749, 284 is 1

2. How to calculate the greatest common divisor of 390, 575, 749, 284?

We can find the highest common divisor of 390, 575, 749, 284 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 390, 575, 749, 284 i.e 1.

3. How can I use the GCD of 390, 575, 749, 284Calculator?

Out the numbers 390, 575, 749, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.