GCD of 315, 987, 106, 521 Calculator

Given Input numbers are 315, 987, 106, 521

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (315, 987, 106, 521) = 1.

Given numbers are 315, 987, 106, 521

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 987 are 3 x 7 x 47

Prime factors of 106 are 2 x 53

Prime factors of 521 are 521

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

Given numbers are 315, 987, 106, 521

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

Apply this formula for all numbers.

Step1:

LCM(315, 987) = 14805

GCD(315, 987) = ( 315 x 987 ) / 14805

= 315 / 987

= 315

Step2:

LCM(21, 106) = 2226

GCD(21, 106) = ( 21 x 106 ) / 2226

= 21 / 106

= 21

Step3:

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

= 1 / 521

= 1

So, Greatest Common Divisor of 315, 987, 106, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 790, 523, 791, 768
• GCD of 103, 819, 705, 210
• GCD of 412, 467, 258, 950
• GCD of 544, 163, 301, 742
• GCD of 553, 401, 394, 179

Given numbers are 315, 987, 106, 521
The greatest common divisor of numbers 315, 987, 106, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 987, 106, 521 is 1.

1. What is the GCD of 315, 987, 106, 521?

GCD of given numbers 315, 987, 106, 521 is 1

2. How to calculate the greatest common divisor of 315, 987, 106, 521?

We can find the highest common divisor of 315, 987, 106, 521 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 315, 987, 106, 521 i.e 1.

3. How can I use the GCD of 315, 987, 106, 521Calculator?

Out the numbers 315, 987, 106, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.