GCD of 782, 270, 413, 390 Calculator

Given Input numbers are 782, 270, 413, 390

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

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

GCD of numbers is the greatest common divisor

So, the GCD (782, 270, 413, 390) = 1.

Given numbers are 782, 270, 413, 390

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 413 are 7 x 59

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

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

Given numbers are 782, 270, 413, 390

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

Apply this formula for all numbers.

Step1:

LCM(782, 270) = 105570

GCD(782, 270) = ( 782 x 270 ) / 105570

= 782 / 270

= 782

Step2:

LCM(2, 413) = 826

GCD(2, 413) = ( 2 x 413 ) / 826

= 2 / 413

= 2

Step3:

LCM(1, 390) = 390

GCD(1, 390) = ( 1 x 390 ) / 390

= 1 / 390

= 1

So, Greatest Common Divisor of 782, 270, 413, 390 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 298, 200, 501
• GCD of 738, 384, 683, 786
• GCD of 669, 732, 286, 273
• GCD of 739, 810, 677, 975
• GCD of 927, 315, 717, 240

Given numbers are 782, 270, 413, 390
The greatest common divisor of numbers 782, 270, 413, 390 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 270, 413, 390 is 1.

1. What is the GCD of 782, 270, 413, 390?

GCD of given numbers 782, 270, 413, 390 is 1

2. How to calculate the greatest common divisor of 782, 270, 413, 390?

We can find the highest common divisor of 782, 270, 413, 390 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 782, 270, 413, 390 i.e 1.

3. How can I use the GCD of 782, 270, 413, 390Calculator?

Out the numbers 782, 270, 413, 390 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.