GCD of 780, 466, 590, 576 Calculator

Given Input numbers are 780, 466, 590, 576

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

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 466 :

The positive integer divisors of 466 that completely divides 466 are.

1, 2, 233, 466

Divisors of 590 :

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

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

GCD of numbers is the greatest common divisor

So, the GCD (780, 466, 590, 576) = 2.

Given numbers are 780, 466, 590, 576

The list of prime factors of all numbers are

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 466 are 2 x 233

Prime factors of 590 are 2 x 5 x 59

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 780, 466, 590, 576 is 2.

Given numbers are 780, 466, 590, 576

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

Apply this formula for all numbers.

Step1:

LCM(780, 466) = 181740

GCD(780, 466) = ( 780 x 466 ) / 181740

= 780 / 466

= 780

Step2:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

Step3:

LCM(2, 576) = 576

GCD(2, 576) = ( 2 x 576 ) / 576

= 2 / 576

= 2

So, Greatest Common Divisor of 780, 466, 590, 576 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 218, 606, 220, 837
• GCD of 273, 624, 656, 313
• GCD of 565, 813, 789, 168
• GCD of 875, 862, 632, 921
• GCD of 608, 682, 163, 452

Given numbers are 780, 466, 590, 576
The greatest common divisor of numbers 780, 466, 590, 576 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 466, 590, 576 is 2.

1. What is the GCD of 780, 466, 590, 576?

GCD of given numbers 780, 466, 590, 576 is 2

2. How to calculate the greatest common divisor of 780, 466, 590, 576?

We can find the highest common divisor of 780, 466, 590, 576 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 780, 466, 590, 576 i.e 2.

3. How can I use the GCD of 780, 466, 590, 576Calculator?

Out the numbers 780, 466, 590, 576 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.