GCD of 109, 325, 125, 408 Calculator

Given Input numbers are 109, 325, 125, 408

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 125 :

The positive integer divisors of 125 that completely divides 125 are.

1, 5, 25, 125

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

GCD of numbers is the greatest common divisor

So, the GCD (109, 325, 125, 408) = 1.

Given numbers are 109, 325, 125, 408

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 325 are 5 x 5 x 13

Prime factors of 125 are 5 x 5 x 5

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Given numbers are 109, 325, 125, 408

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

Apply this formula for all numbers.

Step1:

LCM(109, 325) = 35425

GCD(109, 325) = ( 109 x 325 ) / 35425

= 109 / 325

= 109

Step2:

LCM(1, 125) = 125

GCD(1, 125) = ( 1 x 125 ) / 125

= 1 / 125

= 1

Step3:

LCM(1, 408) = 408

GCD(1, 408) = ( 1 x 408 ) / 408

= 1 / 408

= 1

So, Greatest Common Divisor of 109, 325, 125, 408 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 721, 760, 493
• GCD of 152, 114, 736, 193
• GCD of 972, 717, 192, 497
• GCD of 697, 469, 891, 182
• GCD of 685, 474, 378, 211

Given numbers are 109, 325, 125, 408
The greatest common divisor of numbers 109, 325, 125, 408 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 325, 125, 408 is 1.

1. What is the GCD of 109, 325, 125, 408?

GCD of given numbers 109, 325, 125, 408 is 1

2. How to calculate the greatest common divisor of 109, 325, 125, 408?

We can find the highest common divisor of 109, 325, 125, 408 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 109, 325, 125, 408 i.e 1.

3. How can I use the GCD of 109, 325, 125, 408Calculator?

Out the numbers 109, 325, 125, 408 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.