GCD of 771, 489, 765 Calculator

Given Input numbers are 771, 489, 765

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

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 489 :

The positive integer divisors of 489 that completely divides 489 are.

1, 3, 163, 489

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

GCD of numbers is the greatest common divisor

So, the GCD (771, 489, 765) = 3.

Given numbers are 771, 489, 765

The list of prime factors of all numbers are

Prime factors of 771 are 3 x 257

Prime factors of 489 are 3 x 163

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

The highest common occurrence is 3¹

Therefore, GCD of 771, 489, 765 is 3.

Given numbers are 771, 489, 765

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

Apply this formula for all numbers.

Step1:

LCM(771, 489) = 125673

GCD(771, 489) = ( 771 x 489 ) / 125673

= 771 / 489

= 771

Step2:

LCM(3, 765) = 765

GCD(3, 765) = ( 3 x 765 ) / 765

= 3 / 765

= 3

So, Greatest Common Divisor of 771, 489, 765 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 351, 494, 159
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Given numbers are 771, 489, 765
The greatest common divisor of numbers 771, 489, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 489, 765 is 3.

1. What is the GCD of 771, 489, 765?

GCD of given numbers 771, 489, 765 is 3

2. How to calculate the greatest common divisor of 771, 489, 765?

We can find the highest common divisor of 771, 489, 765 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 771, 489, 765 i.e 3.

3. How can I use the GCD of 771, 489, 765Calculator?

Out the numbers 771, 489, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.