GCD of 780, 361, 896, 448 Calculator

Given Input numbers are 780, 361, 896, 448

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 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (780, 361, 896, 448) = 1.

Given numbers are 780, 361, 896, 448

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 361 are 19 x 19

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

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

Given numbers are 780, 361, 896, 448

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

Apply this formula for all numbers.

Step1:

LCM(780, 361) = 281580

GCD(780, 361) = ( 780 x 361 ) / 281580

= 780 / 361

= 780

Step2:

LCM(1, 896) = 896

GCD(1, 896) = ( 1 x 896 ) / 896

= 1 / 896

= 1

Step3:

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

= 1 / 448

= 1

So, Greatest Common Divisor of 780, 361, 896, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 939, 360, 772
• GCD of 881, 441, 118, 554
• GCD of 940, 142, 891, 528
• GCD of 339, 649, 128, 859
• GCD of 686, 520, 769, 820

Given numbers are 780, 361, 896, 448
The greatest common divisor of numbers 780, 361, 896, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 780, 361, 896, 448 is 1.

1. What is the GCD of 780, 361, 896, 448?

GCD of given numbers 780, 361, 896, 448 is 1

2. How to calculate the greatest common divisor of 780, 361, 896, 448?

We can find the highest common divisor of 780, 361, 896, 448 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, 361, 896, 448 i.e 1.

3. How can I use the GCD of 780, 361, 896, 448Calculator?

Out the numbers 780, 361, 896, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.