GCD of 516, 628, 514, 981 Calculator

Given Input numbers are 516, 628, 514, 981

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 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 514 :

The positive integer divisors of 514 that completely divides 514 are.

1, 2, 257, 514

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

GCD of numbers is the greatest common divisor

So, the GCD (516, 628, 514, 981) = 1.

Given numbers are 516, 628, 514, 981

The list of prime factors of all numbers are

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

Prime factors of 628 are 2 x 2 x 157

Prime factors of 514 are 2 x 257

Prime factors of 981 are 3 x 3 x 109

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

Given numbers are 516, 628, 514, 981

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

Apply this formula for all numbers.

Step1:

LCM(516, 628) = 81012

GCD(516, 628) = ( 516 x 628 ) / 81012

= 516 / 628

= 516

Step2:

LCM(4, 514) = 1028

GCD(4, 514) = ( 4 x 514 ) / 1028

= 4 / 514

= 4

Step3:

LCM(2, 981) = 1962

GCD(2, 981) = ( 2 x 981 ) / 1962

= 2 / 981

= 2

So, Greatest Common Divisor of 516, 628, 514, 981 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 889, 648, 794
• GCD of 678, 765, 303, 376
• GCD of 131, 627, 417, 714
• GCD of 894, 534, 366, 838
• GCD of 862, 593, 847, 404

Given numbers are 516, 628, 514, 981
The greatest common divisor of numbers 516, 628, 514, 981 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 628, 514, 981 is 1.

1. What is the GCD of 516, 628, 514, 981?

GCD of given numbers 516, 628, 514, 981 is 1

2. How to calculate the greatest common divisor of 516, 628, 514, 981?

We can find the highest common divisor of 516, 628, 514, 981 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, 628, 514, 981 i.e 1.

3. How can I use the GCD of 516, 628, 514, 981Calculator?

Out the numbers 516, 628, 514, 981 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.