GCD of 825, 705, 108 Calculator

Given Input numbers are 825, 705, 108

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 705 :

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

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (825, 705, 108) = 3.

Given numbers are 825, 705, 108

The list of prime factors of all numbers are

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

Prime factors of 705 are 3 x 5 x 47

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 825, 705, 108 is 3.

Given numbers are 825, 705, 108

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

Apply this formula for all numbers.

Step1:

LCM(825, 705) = 38775

GCD(825, 705) = ( 825 x 705 ) / 38775

= 825 / 705

= 825

Step2:

LCM(15, 108) = 540

GCD(15, 108) = ( 15 x 108 ) / 540

= 15 / 108

= 15

So, Greatest Common Divisor of 825, 705, 108 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 757, 915, 805
• GCD of 429, 969, 890
• GCD of 405, 525, 788
• GCD of 993, 386, 709
• GCD of 244, 482, 597

Given numbers are 825, 705, 108
The greatest common divisor of numbers 825, 705, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 705, 108 is 3.

1. What is the GCD of 825, 705, 108?

GCD of given numbers 825, 705, 108 is 3

2. How to calculate the greatest common divisor of 825, 705, 108?

We can find the highest common divisor of 825, 705, 108 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, 705, 108 i.e 3.

3. How can I use the GCD of 825, 705, 108Calculator?

Out the numbers 825, 705, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.