GCD of 339, 516, 630, 144 Calculator

Given Input numbers are 339, 516, 630, 144

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

Divisors of 339 :

The positive integer divisors of 339 that completely divides 339 are.

1, 3, 113, 339

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

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

GCD of numbers is the greatest common divisor

So, the GCD (339, 516, 630, 144) = 3.

Given numbers are 339, 516, 630, 144

The list of prime factors of all numbers are

Prime factors of 339 are 3 x 113

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

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

The highest common occurrence is 3¹

Therefore, GCD of 339, 516, 630, 144 is 3.

Given numbers are 339, 516, 630, 144

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

Apply this formula for all numbers.

Step1:

LCM(339, 516) = 58308

GCD(339, 516) = ( 339 x 516 ) / 58308

= 339 / 516

= 339

Step2:

LCM(3, 630) = 630

GCD(3, 630) = ( 3 x 630 ) / 630

= 3 / 630

= 3

Step3:

LCM(3, 144) = 144

GCD(3, 144) = ( 3 x 144 ) / 144

= 3 / 144

= 3

So, Greatest Common Divisor of 339, 516, 630, 144 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 296, 167, 941, 828
• GCD of 284, 424, 746, 649
• GCD of 492, 290, 246, 770
• GCD of 682, 219, 298, 934
• GCD of 248, 984, 791, 964

Given numbers are 339, 516, 630, 144
The greatest common divisor of numbers 339, 516, 630, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 339, 516, 630, 144 is 3.

1. What is the GCD of 339, 516, 630, 144?

GCD of given numbers 339, 516, 630, 144 is 3

2. How to calculate the greatest common divisor of 339, 516, 630, 144?

We can find the highest common divisor of 339, 516, 630, 144 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 339, 516, 630, 144 i.e 3.

3. How can I use the GCD of 339, 516, 630, 144Calculator?

Out the numbers 339, 516, 630, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.