GCD of 765, 111, 645, 672 Calculator

Given Input numbers are 765, 111, 645, 672

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 111 :

The positive integer divisors of 111 that completely divides 111 are.

1, 3, 37, 111

Divisors of 645 :

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

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

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

GCD of numbers is the greatest common divisor

So, the GCD (765, 111, 645, 672) = 3.

Given numbers are 765, 111, 645, 672

The list of prime factors of all numbers are

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

Prime factors of 111 are 3 x 37

Prime factors of 645 are 3 x 5 x 43

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 765, 111, 645, 672 is 3.

Given numbers are 765, 111, 645, 672

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

Apply this formula for all numbers.

Step1:

LCM(765, 111) = 28305

GCD(765, 111) = ( 765 x 111 ) / 28305

= 765 / 111

= 765

Step2:

LCM(3, 645) = 645

GCD(3, 645) = ( 3 x 645 ) / 645

= 3 / 645

= 3

Step3:

LCM(3, 672) = 672

GCD(3, 672) = ( 3 x 672 ) / 672

= 3 / 672

= 3

So, Greatest Common Divisor of 765, 111, 645, 672 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 342, 849, 944, 901
• GCD of 901, 534, 505, 157
• GCD of 878, 379, 892, 995
• GCD of 419, 110, 813, 326
• GCD of 623, 991, 407, 640

Given numbers are 765, 111, 645, 672
The greatest common divisor of numbers 765, 111, 645, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 765, 111, 645, 672 is 3.

1. What is the GCD of 765, 111, 645, 672?

GCD of given numbers 765, 111, 645, 672 is 3

2. How to calculate the greatest common divisor of 765, 111, 645, 672?

We can find the highest common divisor of 765, 111, 645, 672 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, 111, 645, 672 i.e 3.

3. How can I use the GCD of 765, 111, 645, 672Calculator?

Out the numbers 765, 111, 645, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.