GCD of 780, 398, 288, 369 Calculator

Given Input numbers are 780, 398, 288, 369

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (780, 398, 288, 369) = 1.

Given numbers are 780, 398, 288, 369

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 398 are 2 x 199

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 369 are 3 x 3 x 41

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

Given numbers are 780, 398, 288, 369

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

Apply this formula for all numbers.

Step1:

LCM(780, 398) = 155220

GCD(780, 398) = ( 780 x 398 ) / 155220

= 780 / 398

= 780

Step2:

LCM(2, 288) = 288

GCD(2, 288) = ( 2 x 288 ) / 288

= 2 / 288

= 2

Step3:

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

= 2 / 369

= 2

So, Greatest Common Divisor of 780, 398, 288, 369 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 723, 552, 484
• GCD of 542, 369, 747, 801
• GCD of 934, 974, 904, 879
• GCD of 787, 496, 549, 936
• GCD of 432, 305, 692, 750

Given numbers are 780, 398, 288, 369
The greatest common divisor of numbers 780, 398, 288, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 398, 288, 369 is 1.

1. What is the GCD of 780, 398, 288, 369?

GCD of given numbers 780, 398, 288, 369 is 1

2. How to calculate the greatest common divisor of 780, 398, 288, 369?

We can find the highest common divisor of 780, 398, 288, 369 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, 398, 288, 369 i.e 1.

3. How can I use the GCD of 780, 398, 288, 369Calculator?

Out the numbers 780, 398, 288, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.