GCD of 765, 969, 315, 316 Calculator

Given Input numbers are 765, 969, 315, 316

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 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

GCD of numbers is the greatest common divisor

So, the GCD (765, 969, 315, 316) = 1.

Given numbers are 765, 969, 315, 316

The list of prime factors of all numbers are

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

Prime factors of 969 are 3 x 17 x 19

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 316 are 2 x 2 x 79

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

Given numbers are 765, 969, 315, 316

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

Apply this formula for all numbers.

Step1:

LCM(765, 969) = 14535

GCD(765, 969) = ( 765 x 969 ) / 14535

= 765 / 969

= 765

Step2:

LCM(51, 315) = 5355

GCD(51, 315) = ( 51 x 315 ) / 5355

= 51 / 315

= 51

Step3:

LCM(3, 316) = 948

GCD(3, 316) = ( 3 x 316 ) / 948

= 3 / 316

= 3

So, Greatest Common Divisor of 765, 969, 315, 316 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 489, 280, 185, 347
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• GCD of 731, 810, 898, 816
• GCD of 432, 276, 310, 823

Given numbers are 765, 969, 315, 316
The greatest common divisor of numbers 765, 969, 315, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 969, 315, 316 is 1.

1. What is the GCD of 765, 969, 315, 316?

GCD of given numbers 765, 969, 315, 316 is 1

2. How to calculate the greatest common divisor of 765, 969, 315, 316?

We can find the highest common divisor of 765, 969, 315, 316 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, 969, 315, 316 i.e 1.

3. How can I use the GCD of 765, 969, 315, 316Calculator?

Out the numbers 765, 969, 315, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.