GCD of 108, 224, 825, 644 Calculator

Given Input numbers are 108, 224, 825, 644

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

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

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 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (108, 224, 825, 644) = 1.

Given numbers are 108, 224, 825, 644

The list of prime factors of all numbers are

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

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Prime factors of 644 are 2 x 2 x 7 x 23

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

Given numbers are 108, 224, 825, 644

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

Apply this formula for all numbers.

Step1:

LCM(108, 224) = 6048

GCD(108, 224) = ( 108 x 224 ) / 6048

= 108 / 224

= 108

Step2:

LCM(4, 825) = 3300

GCD(4, 825) = ( 4 x 825 ) / 3300

= 4 / 825

= 4

Step3:

LCM(1, 644) = 644

GCD(1, 644) = ( 1 x 644 ) / 644

= 1 / 644

= 1

So, Greatest Common Divisor of 108, 224, 825, 644 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 134, 495, 357
• GCD of 567, 891, 752, 241
• GCD of 882, 366, 461, 162
• GCD of 844, 802, 843, 669
• GCD of 661, 427, 103, 158

Given numbers are 108, 224, 825, 644
The greatest common divisor of numbers 108, 224, 825, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 224, 825, 644 is 1.

1. What is the GCD of 108, 224, 825, 644?

GCD of given numbers 108, 224, 825, 644 is 1

2. How to calculate the greatest common divisor of 108, 224, 825, 644?

We can find the highest common divisor of 108, 224, 825, 644 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 108, 224, 825, 644 i.e 1.

3. How can I use the GCD of 108, 224, 825, 644Calculator?

Out the numbers 108, 224, 825, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.