GCD of 516, 398, 842, 105 Calculator

Given Input numbers are 516, 398, 842, 105

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (516, 398, 842, 105) = 1.

Given numbers are 516, 398, 842, 105

The list of prime factors of all numbers are

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

Prime factors of 398 are 2 x 199

Prime factors of 842 are 2 x 421

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 516, 398, 842, 105

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

Apply this formula for all numbers.

Step1:

LCM(516, 398) = 102684

GCD(516, 398) = ( 516 x 398 ) / 102684

= 516 / 398

= 516

Step2:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

Step3:

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

= 2 / 105

= 2

So, Greatest Common Divisor of 516, 398, 842, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 251, 224, 384, 587
• GCD of 714, 114, 665, 346
• GCD of 450, 466, 576, 179
• GCD of 591, 558, 918, 630
• GCD of 211, 961, 254, 730

Given numbers are 516, 398, 842, 105
The greatest common divisor of numbers 516, 398, 842, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 398, 842, 105 is 1.

1. What is the GCD of 516, 398, 842, 105?

GCD of given numbers 516, 398, 842, 105 is 1

2. How to calculate the greatest common divisor of 516, 398, 842, 105?

We can find the highest common divisor of 516, 398, 842, 105 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, 398, 842, 105 i.e 1.

3. How can I use the GCD of 516, 398, 842, 105Calculator?

Out the numbers 516, 398, 842, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.