GCD of 123, 672, 339, 516 Calculator

Given Input numbers are 123, 672, 339, 516

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

Divisors of 672 :

The positive integer divisors of 672 that completely divides 672 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

GCD of numbers is the greatest common divisor

So, the GCD (123, 672, 339, 516) = 3.

Given numbers are 123, 672, 339, 516

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 339 are 3 x 113

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

The highest common occurrence is 3¹

Therefore, GCD of 123, 672, 339, 516 is 3.

Given numbers are 123, 672, 339, 516

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

Apply this formula for all numbers.

Step1:

LCM(123, 672) = 27552

GCD(123, 672) = ( 123 x 672 ) / 27552

= 123 / 672

= 123

Step2:

LCM(3, 339) = 339

GCD(3, 339) = ( 3 x 339 ) / 339

= 3 / 339

= 3

Step3:

LCM(3, 516) = 516

GCD(3, 516) = ( 3 x 516 ) / 516

= 3 / 516

= 3

So, Greatest Common Divisor of 123, 672, 339, 516 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 937, 414, 393, 796
• GCD of 961, 854, 367, 199
• GCD of 363, 659, 760, 920
• GCD of 282, 490, 414, 194
• GCD of 451, 907, 169, 935

Given numbers are 123, 672, 339, 516
The greatest common divisor of numbers 123, 672, 339, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 672, 339, 516 is 3.

1. What is the GCD of 123, 672, 339, 516?

GCD of given numbers 123, 672, 339, 516 is 3

2. How to calculate the greatest common divisor of 123, 672, 339, 516?

We can find the highest common divisor of 123, 672, 339, 516 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 123, 672, 339, 516 i.e 3.

3. How can I use the GCD of 123, 672, 339, 516Calculator?

Out the numbers 123, 672, 339, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.