GCD of 687, 945, 852, 909 Calculator

Given Input numbers are 687, 945, 852, 909

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

Divisors of 687 :

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

1, 3, 229, 687

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

GCD of numbers is the greatest common divisor

So, the GCD (687, 945, 852, 909) = 3.

Given numbers are 687, 945, 852, 909

The list of prime factors of all numbers are

Prime factors of 687 are 3 x 229

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 909 are 3 x 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 687, 945, 852, 909 is 3.

Given numbers are 687, 945, 852, 909

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

Apply this formula for all numbers.

Step1:

LCM(687, 945) = 216405

GCD(687, 945) = ( 687 x 945 ) / 216405

= 687 / 945

= 687

Step2:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

Step3:

LCM(3, 909) = 909

GCD(3, 909) = ( 3 x 909 ) / 909

= 3 / 909

= 3

So, Greatest Common Divisor of 687, 945, 852, 909 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 764, 312, 740
• GCD of 706, 680, 428, 363
• GCD of 327, 935, 184, 919
• GCD of 143, 832, 740, 470
• GCD of 560, 252, 948, 507

Given numbers are 687, 945, 852, 909
The greatest common divisor of numbers 687, 945, 852, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 687, 945, 852, 909 is 3.

1. What is the GCD of 687, 945, 852, 909?

GCD of given numbers 687, 945, 852, 909 is 3

2. How to calculate the greatest common divisor of 687, 945, 852, 909?

We can find the highest common divisor of 687, 945, 852, 909 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 687, 945, 852, 909 i.e 3.

3. How can I use the GCD of 687, 945, 852, 909Calculator?

Out the numbers 687, 945, 852, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.