GCD of 516, 120, 825, 428 Calculator

Given Input numbers are 516, 120, 825, 428

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

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 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (516, 120, 825, 428) = 1.

Given numbers are 516, 120, 825, 428

The list of prime factors of all numbers are

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

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 428 are 2 x 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 516, 120, 825, 428

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

Apply this formula for all numbers.

Step1:

LCM(516, 120) = 5160

GCD(516, 120) = ( 516 x 120 ) / 5160

= 516 / 120

= 516

Step2:

LCM(12, 825) = 3300

GCD(12, 825) = ( 12 x 825 ) / 3300

= 12 / 825

= 12

Step3:

LCM(3, 428) = 1284

GCD(3, 428) = ( 3 x 428 ) / 1284

= 3 / 428

= 3

So, Greatest Common Divisor of 516, 120, 825, 428 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 275, 579, 874
• GCD of 494, 217, 363, 839
• GCD of 488, 161, 644, 496
• GCD of 450, 154, 297, 838
• GCD of 116, 715, 793, 736

Given numbers are 516, 120, 825, 428
The greatest common divisor of numbers 516, 120, 825, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 120, 825, 428 is 1.

1. What is the GCD of 516, 120, 825, 428?

GCD of given numbers 516, 120, 825, 428 is 1

2. How to calculate the greatest common divisor of 516, 120, 825, 428?

We can find the highest common divisor of 516, 120, 825, 428 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 516, 120, 825, 428 i.e 1.

3. How can I use the GCD of 516, 120, 825, 428Calculator?

Out the numbers 516, 120, 825, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.