GCD of 825, 363, 391, 705 Calculator

Given Input numbers are 825, 363, 391, 705

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 363 :

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

1, 3, 11, 33, 121, 363

Divisors of 391 :

The positive integer divisors of 391 that completely divides 391 are.

1, 17, 23, 391

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

GCD of numbers is the greatest common divisor

So, the GCD (825, 363, 391, 705) = 1.

Given numbers are 825, 363, 391, 705

The list of prime factors of all numbers are

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

Prime factors of 363 are 3 x 11 x 11

Prime factors of 391 are 17 x 23

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 825, 363, 391, 705

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

Apply this formula for all numbers.

Step1:

LCM(825, 363) = 9075

GCD(825, 363) = ( 825 x 363 ) / 9075

= 825 / 363

= 825

Step2:

LCM(33, 391) = 12903

GCD(33, 391) = ( 33 x 391 ) / 12903

= 33 / 391

= 33

Step3:

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

= 1 / 705

= 1

So, Greatest Common Divisor of 825, 363, 391, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 718, 553, 172
• GCD of 173, 172, 508, 648
• GCD of 590, 969, 127, 489
• GCD of 477, 100, 302, 771
• GCD of 881, 751, 589, 430

Given numbers are 825, 363, 391, 705
The greatest common divisor of numbers 825, 363, 391, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 363, 391, 705 is 1.

1. What is the GCD of 825, 363, 391, 705?

GCD of given numbers 825, 363, 391, 705 is 1

2. How to calculate the greatest common divisor of 825, 363, 391, 705?

We can find the highest common divisor of 825, 363, 391, 705 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, 363, 391, 705 i.e 1.

3. How can I use the GCD of 825, 363, 391, 705Calculator?

Out the numbers 825, 363, 391, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.