GCD of 666, 867, 60, 345 Calculator

Given Input numbers are 666, 867, 60, 345

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

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 867 :

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

1, 3, 17, 51, 289, 867

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

Divisors of 345 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (666, 867, 60, 345) = 3.

Given numbers are 666, 867, 60, 345

The list of prime factors of all numbers are

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 867 are 3 x 17 x 17

Prime factors of 60 are 2 x 2 x 3 x 5

Prime factors of 345 are 3 x 5 x 23

The highest common occurrence is 3¹

Therefore, GCD of 666, 867, 60, 345 is 3.

Given numbers are 666, 867, 60, 345

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

Apply this formula for all numbers.

Step1:

LCM(666, 867) = 192474

GCD(666, 867) = ( 666 x 867 ) / 192474

= 666 / 867

= 666

Step2:

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

= 3 / 60

= 3

Step3:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3

So, Greatest Common Divisor of 666, 867, 60, 345 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 764, 841, 46, 122
• GCD of 831, 730, 81, 377
• GCD of 972, 323, 18, 751
• GCD of 195, 296, 21, 842
• GCD of 159, 201, 79, 596

Given numbers are 666, 867, 60, 345
The greatest common divisor of numbers 666, 867, 60, 345 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 666, 867, 60, 345 is 3.

1. What is the GCD of 666, 867, 60, 345?

GCD of given numbers 666, 867, 60, 345 is 3

2. How to calculate the greatest common divisor of 666, 867, 60, 345?

We can find the highest common divisor of 666, 867, 60, 345 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 666, 867, 60, 345 i.e 3.

3. How can I use the GCD of 666, 867, 60, 345Calculator?

Out the numbers 666, 867, 60, 345 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.