GCD of 123, 644, 288, 925 Calculator

Given Input numbers are 123, 644, 288, 925

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

Divisors of 123 :

The positive integer divisors of 123 that completely divides 123 are.

1, 3, 41, 123

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

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

GCD of numbers is the greatest common divisor

So, the GCD (123, 644, 288, 925) = 1.

Given numbers are 123, 644, 288, 925

The list of prime factors of all numbers are

Prime factors of 123 are 3 x 41

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

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 925 are 5 x 5 x 37

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

Given numbers are 123, 644, 288, 925

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

Apply this formula for all numbers.

Step1:

LCM(123, 644) = 79212

GCD(123, 644) = ( 123 x 644 ) / 79212

= 123 / 644

= 123

Step2:

LCM(1, 288) = 288

GCD(1, 288) = ( 1 x 288 ) / 288

= 1 / 288

= 1

Step3:

LCM(1, 925) = 925

GCD(1, 925) = ( 1 x 925 ) / 925

= 1 / 925

= 1

So, Greatest Common Divisor of 123, 644, 288, 925 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 762, 257, 759, 777
• GCD of 710, 145, 199, 861
• GCD of 218, 916, 305, 624
• GCD of 182, 236, 884, 349
• GCD of 717, 729, 435, 230

Given numbers are 123, 644, 288, 925
The greatest common divisor of numbers 123, 644, 288, 925 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 123, 644, 288, 925 is 1.

1. What is the GCD of 123, 644, 288, 925?

GCD of given numbers 123, 644, 288, 925 is 1

2. How to calculate the greatest common divisor of 123, 644, 288, 925?

We can find the highest common divisor of 123, 644, 288, 925 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 123, 644, 288, 925 i.e 1.

3. How can I use the GCD of 123, 644, 288, 925Calculator?

Out the numbers 123, 644, 288, 925 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.