GCD of 123, 516, 207, 420 Calculator

Given Input numbers are 123, 516, 207, 420

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 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 207 :

The positive integer divisors of 207 that completely divides 207 are.

1, 3, 9, 23, 69, 207

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (123, 516, 207, 420) = 3.

Given numbers are 123, 516, 207, 420

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

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

Prime factors of 207 are 3 x 3 x 23

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 123, 516, 207, 420 is 3.

Given numbers are 123, 516, 207, 420

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

Apply this formula for all numbers.

Step1:

LCM(123, 516) = 21156

GCD(123, 516) = ( 123 x 516 ) / 21156

= 123 / 516

= 123

Step2:

LCM(3, 207) = 207

GCD(3, 207) = ( 3 x 207 ) / 207

= 3 / 207

= 3

Step3:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

So, Greatest Common Divisor of 123, 516, 207, 420 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 401, 876, 264
• GCD of 826, 282, 194, 947
• GCD of 465, 184, 513, 853
• GCD of 729, 182, 128, 144
• GCD of 644, 155, 515, 100

Given numbers are 123, 516, 207, 420
The greatest common divisor of numbers 123, 516, 207, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 516, 207, 420 is 3.

1. What is the GCD of 123, 516, 207, 420?

GCD of given numbers 123, 516, 207, 420 is 3

2. How to calculate the greatest common divisor of 123, 516, 207, 420?

We can find the highest common divisor of 123, 516, 207, 420 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, 516, 207, 420 i.e 3.

3. How can I use the GCD of 123, 516, 207, 420Calculator?

Out the numbers 123, 516, 207, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.