GCD of 765, 960, 952, 305 Calculator

Given Input numbers are 765, 960, 952, 305

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 952 :

The positive integer divisors of 952 that completely divides 952 are.

1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

GCD of numbers is the greatest common divisor

So, the GCD (765, 960, 952, 305) = 1.

Given numbers are 765, 960, 952, 305

The list of prime factors of all numbers are

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

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 952 are 2 x 2 x 2 x 7 x 17

Prime factors of 305 are 5 x 61

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

Given numbers are 765, 960, 952, 305

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

Apply this formula for all numbers.

Step1:

LCM(765, 960) = 48960

GCD(765, 960) = ( 765 x 960 ) / 48960

= 765 / 960

= 765

Step2:

LCM(15, 952) = 14280

GCD(15, 952) = ( 15 x 952 ) / 14280

= 15 / 952

= 15

Step3:

LCM(1, 305) = 305

GCD(1, 305) = ( 1 x 305 ) / 305

= 1 / 305

= 1

So, Greatest Common Divisor of 765, 960, 952, 305 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 723, 597, 630, 334
• GCD of 687, 892, 122, 120
• GCD of 165, 776, 494, 812
• GCD of 664, 284, 482, 279
• GCD of 547, 913, 203, 760

Given numbers are 765, 960, 952, 305
The greatest common divisor of numbers 765, 960, 952, 305 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 960, 952, 305 is 1.

1. What is the GCD of 765, 960, 952, 305?

GCD of given numbers 765, 960, 952, 305 is 1

2. How to calculate the greatest common divisor of 765, 960, 952, 305?

We can find the highest common divisor of 765, 960, 952, 305 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, 960, 952, 305 i.e 1.

3. How can I use the GCD of 765, 960, 952, 305Calculator?

Out the numbers 765, 960, 952, 305 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.