GCD of 144, 702, 309, 399 Calculator

Given Input numbers are 144, 702, 309, 399

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

GCD of numbers is the greatest common divisor

So, the GCD (144, 702, 309, 399) = 3.

Given numbers are 144, 702, 309, 399

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

Prime factors of 309 are 3 x 103

Prime factors of 399 are 3 x 7 x 19

The highest common occurrence is 3¹

Therefore, GCD of 144, 702, 309, 399 is 3.

Given numbers are 144, 702, 309, 399

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

Apply this formula for all numbers.

Step1:

LCM(144, 702) = 5616

GCD(144, 702) = ( 144 x 702 ) / 5616

= 144 / 702

= 144

Step2:

LCM(18, 309) = 1854

GCD(18, 309) = ( 18 x 309 ) / 1854

= 18 / 309

= 18

Step3:

LCM(3, 399) = 399

GCD(3, 399) = ( 3 x 399 ) / 399

= 3 / 399

= 3

So, Greatest Common Divisor of 144, 702, 309, 399 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 452, 690, 754, 920
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Given numbers are 144, 702, 309, 399
The greatest common divisor of numbers 144, 702, 309, 399 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 702, 309, 399 is 3.

1. What is the GCD of 144, 702, 309, 399?

GCD of given numbers 144, 702, 309, 399 is 3

2. How to calculate the greatest common divisor of 144, 702, 309, 399?

We can find the highest common divisor of 144, 702, 309, 399 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 144, 702, 309, 399 i.e 3.

3. How can I use the GCD of 144, 702, 309, 399Calculator?

Out the numbers 144, 702, 309, 399 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.