GCD of 756, 444, 699, 171 Calculator

Given Input numbers are 756, 444, 699, 171

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

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 444 :

The positive integer divisors of 444 that completely divides 444 are.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

GCD of numbers is the greatest common divisor

So, the GCD (756, 444, 699, 171) = 3.

Given numbers are 756, 444, 699, 171

The list of prime factors of all numbers are

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 444 are 2 x 2 x 3 x 37

Prime factors of 699 are 3 x 233

Prime factors of 171 are 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 756, 444, 699, 171 is 3.

Given numbers are 756, 444, 699, 171

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

Apply this formula for all numbers.

Step1:

LCM(756, 444) = 27972

GCD(756, 444) = ( 756 x 444 ) / 27972

= 756 / 444

= 756

Step2:

LCM(12, 699) = 2796

GCD(12, 699) = ( 12 x 699 ) / 2796

= 12 / 699

= 12

Step3:

LCM(3, 171) = 171

GCD(3, 171) = ( 3 x 171 ) / 171

= 3 / 171

= 3

So, Greatest Common Divisor of 756, 444, 699, 171 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 390, 386, 998, 450
• GCD of 467, 397, 203, 395
• GCD of 417, 263, 397, 324
• GCD of 152, 927, 844, 984
• GCD of 260, 765, 408, 811

Given numbers are 756, 444, 699, 171
The greatest common divisor of numbers 756, 444, 699, 171 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 444, 699, 171 is 3.

1. What is the GCD of 756, 444, 699, 171?

GCD of given numbers 756, 444, 699, 171 is 3

2. How to calculate the greatest common divisor of 756, 444, 699, 171?

We can find the highest common divisor of 756, 444, 699, 171 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 756, 444, 699, 171 i.e 3.

3. How can I use the GCD of 756, 444, 699, 171Calculator?

Out the numbers 756, 444, 699, 171 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.