GCD of 780, 364, 392, 824 Calculator

Given Input numbers are 780, 364, 392, 824

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 824 :

The positive integer divisors of 824 that completely divides 824 are.

1, 2, 4, 8, 103, 206, 412, 824

GCD of numbers is the greatest common divisor

So, the GCD (780, 364, 392, 824) = 4.

Given numbers are 780, 364, 392, 824

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 364 are 2 x 2 x 7 x 13

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 824 are 2 x 2 x 2 x 103

The highest common occurrence is 2²

Therefore, GCD of 780, 364, 392, 824 is 4.

Given numbers are 780, 364, 392, 824

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

Apply this formula for all numbers.

Step1:

LCM(780, 364) = 5460

GCD(780, 364) = ( 780 x 364 ) / 5460

= 780 / 364

= 780

Step2:

LCM(52, 392) = 5096

GCD(52, 392) = ( 52 x 392 ) / 5096

= 52 / 392

= 52

Step3:

LCM(4, 824) = 824

GCD(4, 824) = ( 4 x 824 ) / 824

= 4 / 824

= 4

So, Greatest Common Divisor of 780, 364, 392, 824 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 446, 813, 954
• GCD of 636, 233, 107, 187
• GCD of 649, 806, 833, 416
• GCD of 221, 385, 351, 751
• GCD of 152, 395, 983, 100

Given numbers are 780, 364, 392, 824
The greatest common divisor of numbers 780, 364, 392, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 364, 392, 824 is 4.

1. What is the GCD of 780, 364, 392, 824?

GCD of given numbers 780, 364, 392, 824 is 4

2. How to calculate the greatest common divisor of 780, 364, 392, 824?

We can find the highest common divisor of 780, 364, 392, 824 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, 364, 392, 824 i.e 4.

3. How can I use the GCD of 780, 364, 392, 824Calculator?

Out the numbers 780, 364, 392, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.