GCD of 765, 128, 345, 567 Calculator

Given Input numbers are 765, 128, 345, 567

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 128 :

The positive integer divisors of 128 that completely divides 128 are.

1, 2, 4, 8, 16, 32, 64, 128

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 567 :

The positive integer divisors of 567 that completely divides 567 are.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

GCD of numbers is the greatest common divisor

So, the GCD (765, 128, 345, 567) = 1.

Given numbers are 765, 128, 345, 567

The list of prime factors of all numbers are

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

Prime factors of 128 are 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 345 are 3 x 5 x 23

Prime factors of 567 are 3 x 3 x 3 x 3 x 7

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

Given numbers are 765, 128, 345, 567

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

Apply this formula for all numbers.

Step1:

LCM(765, 128) = 97920

GCD(765, 128) = ( 765 x 128 ) / 97920

= 765 / 128

= 765

Step2:

LCM(1, 345) = 345

GCD(1, 345) = ( 1 x 345 ) / 345

= 1 / 345

= 1

Step3:

LCM(1, 567) = 567

GCD(1, 567) = ( 1 x 567 ) / 567

= 1 / 567

= 1

So, Greatest Common Divisor of 765, 128, 345, 567 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 368, 339, 249, 102
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• GCD of 361, 197, 529, 768
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• GCD of 704, 736, 210, 862

Given numbers are 765, 128, 345, 567
The greatest common divisor of numbers 765, 128, 345, 567 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 128, 345, 567 is 1.

1. What is the GCD of 765, 128, 345, 567?

GCD of given numbers 765, 128, 345, 567 is 1

2. How to calculate the greatest common divisor of 765, 128, 345, 567?

We can find the highest common divisor of 765, 128, 345, 567 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, 128, 345, 567 i.e 1.

3. How can I use the GCD of 765, 128, 345, 567Calculator?

Out the numbers 765, 128, 345, 567 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.