GCD of 542, 516, 562, 682 Calculator

Given Input numbers are 542, 516, 562, 682

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

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

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (542, 516, 562, 682) = 2.

Given numbers are 542, 516, 562, 682

The list of prime factors of all numbers are

Prime factors of 542 are 2 x 271

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

Prime factors of 562 are 2 x 281

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 542, 516, 562, 682 is 2.

Given numbers are 542, 516, 562, 682

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

Apply this formula for all numbers.

Step1:

LCM(542, 516) = 139836

GCD(542, 516) = ( 542 x 516 ) / 139836

= 542 / 516

= 542

Step2:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2

Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

So, Greatest Common Divisor of 542, 516, 562, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 622, 686, 826
• GCD of 485, 712, 249, 137
• GCD of 535, 720, 710, 235
• GCD of 743, 529, 916, 970
• GCD of 883, 408, 226, 281

Given numbers are 542, 516, 562, 682
The greatest common divisor of numbers 542, 516, 562, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 542, 516, 562, 682 is 2.

1. What is the GCD of 542, 516, 562, 682?

GCD of given numbers 542, 516, 562, 682 is 2

2. How to calculate the greatest common divisor of 542, 516, 562, 682?

We can find the highest common divisor of 542, 516, 562, 682 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 542, 516, 562, 682 i.e 2.

3. How can I use the GCD of 542, 516, 562, 682Calculator?

Out the numbers 542, 516, 562, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.