GCD of 780, 356, 584, 596 Calculator

Given Input numbers are 780, 356, 584, 596

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 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 596 :

The positive integer divisors of 596 that completely divides 596 are.

1, 2, 4, 149, 298, 596

GCD of numbers is the greatest common divisor

So, the GCD (780, 356, 584, 596) = 4.

Given numbers are 780, 356, 584, 596

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 356 are 2 x 2 x 89

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 596 are 2 x 2 x 149

The highest common occurrence is 2²

Therefore, GCD of 780, 356, 584, 596 is 4.

Given numbers are 780, 356, 584, 596

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

Apply this formula for all numbers.

Step1:

LCM(780, 356) = 69420

GCD(780, 356) = ( 780 x 356 ) / 69420

= 780 / 356

= 780

Step2:

LCM(4, 584) = 584

GCD(4, 584) = ( 4 x 584 ) / 584

= 4 / 584

= 4

Step3:

LCM(4, 596) = 596

GCD(4, 596) = ( 4 x 596 ) / 596

= 4 / 596

= 4

So, Greatest Common Divisor of 780, 356, 584, 596 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 362, 912, 270, 900
• GCD of 604, 166, 683, 790
• GCD of 431, 140, 317, 688
• GCD of 720, 735, 599, 298
• GCD of 994, 783, 634, 157

Given numbers are 780, 356, 584, 596
The greatest common divisor of numbers 780, 356, 584, 596 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 356, 584, 596 is 4.

1. What is the GCD of 780, 356, 584, 596?

GCD of given numbers 780, 356, 584, 596 is 4

2. How to calculate the greatest common divisor of 780, 356, 584, 596?

We can find the highest common divisor of 780, 356, 584, 596 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, 356, 584, 596 i.e 4.

3. How can I use the GCD of 780, 356, 584, 596Calculator?

Out the numbers 780, 356, 584, 596 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.