GCD of 156, 738, 390, 699 Calculator

Given Input numbers are 156, 738, 390, 699

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 699 :

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

1, 3, 233, 699

GCD of numbers is the greatest common divisor

So, the GCD (156, 738, 390, 699) = 3.

Given numbers are 156, 738, 390, 699

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 699 are 3 x 233

The highest common occurrence is 3¹

Therefore, GCD of 156, 738, 390, 699 is 3.

Given numbers are 156, 738, 390, 699

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

Apply this formula for all numbers.

Step1:

LCM(156, 738) = 19188

GCD(156, 738) = ( 156 x 738 ) / 19188

= 156 / 738

= 156

Step2:

LCM(6, 390) = 390

GCD(6, 390) = ( 6 x 390 ) / 390

= 6 / 390

= 6

Step3:

LCM(6, 699) = 1398

GCD(6, 699) = ( 6 x 699 ) / 1398

= 6 / 699

= 6

So, Greatest Common Divisor of 156, 738, 390, 699 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 650, 436, 789, 540
• GCD of 285, 460, 694, 338
• GCD of 235, 656, 394, 548
• GCD of 727, 600, 358, 268
• GCD of 733, 178, 513, 328

Given numbers are 156, 738, 390, 699
The greatest common divisor of numbers 156, 738, 390, 699 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 738, 390, 699 is 3.

1. What is the GCD of 156, 738, 390, 699?

GCD of given numbers 156, 738, 390, 699 is 3

2. How to calculate the greatest common divisor of 156, 738, 390, 699?

We can find the highest common divisor of 156, 738, 390, 699 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 156, 738, 390, 699 i.e 3.

3. How can I use the GCD of 156, 738, 390, 699Calculator?

Out the numbers 156, 738, 390, 699 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.