GCD of 345, 447, 897, 867 Calculator

Given Input numbers are 345, 447, 897, 867

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 447 :

The positive integer divisors of 447 that completely divides 447 are.

1, 3, 149, 447

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (345, 447, 897, 867) = 3.

Given numbers are 345, 447, 897, 867

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 447 are 3 x 149

Prime factors of 897 are 3 x 13 x 23

Prime factors of 867 are 3 x 17 x 17

The highest common occurrence is 3¹

Therefore, GCD of 345, 447, 897, 867 is 3.

Given numbers are 345, 447, 897, 867

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

Apply this formula for all numbers.

Step1:

LCM(345, 447) = 51405

GCD(345, 447) = ( 345 x 447 ) / 51405

= 345 / 447

= 345

Step2:

LCM(3, 897) = 897

GCD(3, 897) = ( 3 x 897 ) / 897

= 3 / 897

= 3

Step3:

LCM(3, 867) = 867

GCD(3, 867) = ( 3 x 867 ) / 867

= 3 / 867

= 3

So, Greatest Common Divisor of 345, 447, 897, 867 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 845, 259, 698, 337
• GCD of 725, 263, 615, 171
• GCD of 436, 592, 763, 398
• GCD of 364, 862, 291, 255
• GCD of 219, 268, 367, 271

Given numbers are 345, 447, 897, 867
The greatest common divisor of numbers 345, 447, 897, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 447, 897, 867 is 3.

1. What is the GCD of 345, 447, 897, 867?

GCD of given numbers 345, 447, 897, 867 is 3

2. How to calculate the greatest common divisor of 345, 447, 897, 867?

We can find the highest common divisor of 345, 447, 897, 867 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 345, 447, 897, 867 i.e 3.

3. How can I use the GCD of 345, 447, 897, 867Calculator?

Out the numbers 345, 447, 897, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.