GCD of 645, 351, 720, 687 Calculator

Given Input numbers are 645, 351, 720, 687

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 687 :

The positive integer divisors of 687 that completely divides 687 are.

1, 3, 229, 687

GCD of numbers is the greatest common divisor

So, the GCD (645, 351, 720, 687) = 3.

Given numbers are 645, 351, 720, 687

The list of prime factors of all numbers are

Prime factors of 645 are 3 x 5 x 43

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 687 are 3 x 229

The highest common occurrence is 3¹

Therefore, GCD of 645, 351, 720, 687 is 3.

Given numbers are 645, 351, 720, 687

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

Apply this formula for all numbers.

Step1:

LCM(645, 351) = 75465

GCD(645, 351) = ( 645 x 351 ) / 75465

= 645 / 351

= 645

Step2:

LCM(3, 720) = 720

GCD(3, 720) = ( 3 x 720 ) / 720

= 3 / 720

= 3

Step3:

LCM(3, 687) = 687

GCD(3, 687) = ( 3 x 687 ) / 687

= 3 / 687

= 3

So, Greatest Common Divisor of 645, 351, 720, 687 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 244, 955, 475
• GCD of 217, 786, 273, 686
• GCD of 692, 523, 325, 311
• GCD of 450, 596, 776, 136
• GCD of 884, 547, 567, 370

Given numbers are 645, 351, 720, 687
The greatest common divisor of numbers 645, 351, 720, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 645, 351, 720, 687 is 3.

1. What is the GCD of 645, 351, 720, 687?

GCD of given numbers 645, 351, 720, 687 is 3

2. How to calculate the greatest common divisor of 645, 351, 720, 687?

We can find the highest common divisor of 645, 351, 720, 687 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, 351, 720, 687 i.e 3.

3. How can I use the GCD of 645, 351, 720, 687Calculator?

Out the numbers 645, 351, 720, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.