GCD of 765, 351, 612, 920 Calculator

Given Input numbers are 765, 351, 612, 920

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (765, 351, 612, 920) = 1.

Given numbers are 765, 351, 612, 920

The list of prime factors of all numbers are

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

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 765, 351, 612, 920

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

Apply this formula for all numbers.

Step1:

LCM(765, 351) = 29835

GCD(765, 351) = ( 765 x 351 ) / 29835

= 765 / 351

= 765

Step2:

LCM(9, 612) = 612

GCD(9, 612) = ( 9 x 612 ) / 612

= 9 / 612

= 9

Step3:

LCM(9, 920) = 8280

GCD(9, 920) = ( 9 x 920 ) / 8280

= 9 / 920

= 9

So, Greatest Common Divisor of 765, 351, 612, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 323, 491, 992, 996
• GCD of 340, 622, 974, 272
• GCD of 116, 493, 152, 973
• GCD of 925, 486, 158, 535
• GCD of 898, 110, 311, 211

Given numbers are 765, 351, 612, 920
The greatest common divisor of numbers 765, 351, 612, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 351, 612, 920 is 1.

1. What is the GCD of 765, 351, 612, 920?

GCD of given numbers 765, 351, 612, 920 is 1

2. How to calculate the greatest common divisor of 765, 351, 612, 920?

We can find the highest common divisor of 765, 351, 612, 920 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, 351, 612, 920 i.e 1.

3. How can I use the GCD of 765, 351, 612, 920Calculator?

Out the numbers 765, 351, 612, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.