GCD of 825, 315, 986, 363 Calculator

Given Input numbers are 825, 315, 986, 363

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

GCD of numbers is the greatest common divisor

So, the GCD (825, 315, 986, 363) = 1.

Given numbers are 825, 315, 986, 363

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

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

Prime factors of 986 are 2 x 17 x 29

Prime factors of 363 are 3 x 11 x 11

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

Given numbers are 825, 315, 986, 363

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

Apply this formula for all numbers.

Step1:

LCM(825, 315) = 17325

GCD(825, 315) = ( 825 x 315 ) / 17325

= 825 / 315

= 825

Step2:

LCM(15, 986) = 14790

GCD(15, 986) = ( 15 x 986 ) / 14790

= 15 / 986

= 15

Step3:

LCM(1, 363) = 363

GCD(1, 363) = ( 1 x 363 ) / 363

= 1 / 363

= 1

So, Greatest Common Divisor of 825, 315, 986, 363 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 946, 144, 449
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• GCD of 569, 542, 340, 782
• GCD of 390, 970, 654, 893
• GCD of 752, 877, 507, 833

Given numbers are 825, 315, 986, 363
The greatest common divisor of numbers 825, 315, 986, 363 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 315, 986, 363 is 1.

1. What is the GCD of 825, 315, 986, 363?

GCD of given numbers 825, 315, 986, 363 is 1

2. How to calculate the greatest common divisor of 825, 315, 986, 363?

We can find the highest common divisor of 825, 315, 986, 363 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 825, 315, 986, 363 i.e 1.

3. How can I use the GCD of 825, 315, 986, 363Calculator?

Out the numbers 825, 315, 986, 363 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.