GCD of 872, 394, 542, 516 Calculator

Given Input numbers are 872, 394, 542, 516

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

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 (872, 394, 542, 516) = 2.

Given numbers are 872, 394, 542, 516

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 394 are 2 x 197

Prime factors of 542 are 2 x 271

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

The highest common occurrence is 2¹

Therefore, GCD of 872, 394, 542, 516 is 2.

Given numbers are 872, 394, 542, 516

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

Apply this formula for all numbers.

Step1:

LCM(872, 394) = 171784

GCD(872, 394) = ( 872 x 394 ) / 171784

= 872 / 394

= 872

Step2:

LCM(2, 542) = 542

GCD(2, 542) = ( 2 x 542 ) / 542

= 2 / 542

= 2

Step3:

LCM(2, 516) = 516

GCD(2, 516) = ( 2 x 516 ) / 516

= 2 / 516

= 2

So, Greatest Common Divisor of 872, 394, 542, 516 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 151, 118, 519
• GCD of 335, 830, 959, 809
• GCD of 806, 134, 718, 116
• GCD of 434, 648, 324, 225
• GCD of 487, 454, 949, 582

Given numbers are 872, 394, 542, 516
The greatest common divisor of numbers 872, 394, 542, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 394, 542, 516 is 2.

1. What is the GCD of 872, 394, 542, 516?

GCD of given numbers 872, 394, 542, 516 is 2

2. How to calculate the greatest common divisor of 872, 394, 542, 516?

We can find the highest common divisor of 872, 394, 542, 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 872, 394, 542, 516 i.e 2.

3. How can I use the GCD of 872, 394, 542, 516Calculator?

Out the numbers 872, 394, 542, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.