GCD of 109, 375, 144, 627 Calculator

Given Input numbers are 109, 375, 144, 627

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 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 627 :

The positive integer divisors of 627 that completely divides 627 are.

1, 3, 11, 19, 33, 57, 209, 627

GCD of numbers is the greatest common divisor

So, the GCD (109, 375, 144, 627) = 1.

Given numbers are 109, 375, 144, 627

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 627 are 3 x 11 x 19

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

Given numbers are 109, 375, 144, 627

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

Apply this formula for all numbers.

Step1:

LCM(109, 375) = 40875

GCD(109, 375) = ( 109 x 375 ) / 40875

= 109 / 375

= 109

Step2:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

Step3:

LCM(1, 627) = 627

GCD(1, 627) = ( 1 x 627 ) / 627

= 1 / 627

= 1

So, Greatest Common Divisor of 109, 375, 144, 627 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 339, 454, 525
• GCD of 867, 802, 924, 106
• GCD of 589, 456, 118, 884
• GCD of 724, 565, 424, 857
• GCD of 845, 180, 913, 202

Given numbers are 109, 375, 144, 627
The greatest common divisor of numbers 109, 375, 144, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 375, 144, 627 is 1.

1. What is the GCD of 109, 375, 144, 627?

GCD of given numbers 109, 375, 144, 627 is 1

2. How to calculate the greatest common divisor of 109, 375, 144, 627?

We can find the highest common divisor of 109, 375, 144, 627 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, 375, 144, 627 i.e 1.

3. How can I use the GCD of 109, 375, 144, 627Calculator?

Out the numbers 109, 375, 144, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.