GCD of 645, 738, 771 Calculator

Given Input numbers are 645, 738, 771

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

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 771 :

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

1, 3, 257, 771

GCD of numbers is the greatest common divisor

So, the GCD (645, 738, 771) = 3.

Given numbers are 645, 738, 771

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 771 are 3 x 257

The highest common occurrence is 3¹

Therefore, GCD of 645, 738, 771 is 3.

Given numbers are 645, 738, 771

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

Apply this formula for all numbers.

Step1:

LCM(645, 738) = 158670

GCD(645, 738) = ( 645 x 738 ) / 158670

= 645 / 738

= 645

Step2:

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

= 3 / 771

= 3

So, Greatest Common Divisor of 645, 738, 771 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 604, 815, 873
• GCD of 805, 598, 545
• GCD of 850, 130, 752
• GCD of 305, 125, 128
• GCD of 906, 589, 823

Given numbers are 645, 738, 771
The greatest common divisor of numbers 645, 738, 771 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 738, 771 is 3.

1. What is the GCD of 645, 738, 771?

GCD of given numbers 645, 738, 771 is 3

2. How to calculate the greatest common divisor of 645, 738, 771?

We can find the highest common divisor of 645, 738, 771 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 645, 738, 771 i.e 3.

3. How can I use the GCD of 645, 738, 771Calculator?

Out the numbers 645, 738, 771 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.