GCD of 765, 617, 180, 448 Calculator

Given Input numbers are 765, 617, 180, 448

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

Divisors of 765 :

The positive integer divisors of 765 that completely divides 765 are.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

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 (765, 617, 180, 448) = 1.

Given numbers are 765, 617, 180, 448

The list of prime factors of all numbers are

Prime factors of 765 are 3 x 3 x 5 x 17

Prime factors of 617 are 617

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

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 765, 617, 180, 448

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

Apply this formula for all numbers.

Step1:

LCM(765, 617) = 472005

GCD(765, 617) = ( 765 x 617 ) / 472005

= 765 / 617

= 765

Step2:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

Step3:

LCM(1, 448) = 448

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

= 1 / 448

= 1

So, Greatest Common Divisor of 765, 617, 180, 448 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 987, 987, 275, 375
• GCD of 530, 345, 714, 831
• GCD of 494, 476, 344, 200
• GCD of 444, 589, 284, 508
• GCD of 180, 644, 413, 422

Given numbers are 765, 617, 180, 448
The greatest common divisor of numbers 765, 617, 180, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 617, 180, 448 is 1.

1. What is the GCD of 765, 617, 180, 448?

GCD of given numbers 765, 617, 180, 448 is 1

2. How to calculate the greatest common divisor of 765, 617, 180, 448?

We can find the highest common divisor of 765, 617, 180, 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 765, 617, 180, 448 i.e 1.

3. How can I use the GCD of 765, 617, 180, 448Calculator?

Out the numbers 765, 617, 180, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.