GCD of 255, 195, 748, 189 Calculator

Given Input numbers are 255, 195, 748, 189

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

Divisors of 255 :

The positive integer divisors of 255 that completely divides 255 are.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (255, 195, 748, 189) = 1.

Given numbers are 255, 195, 748, 189

The list of prime factors of all numbers are

Prime factors of 255 are 3 x 5 x 17

Prime factors of 195 are 3 x 5 x 13

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 255, 195, 748, 189

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

Apply this formula for all numbers.

Step1:

LCM(255, 195) = 3315

GCD(255, 195) = ( 255 x 195 ) / 3315

= 255 / 195

= 255

Step2:

LCM(15, 748) = 11220

GCD(15, 748) = ( 15 x 748 ) / 11220

= 15 / 748

= 15

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 255, 195, 748, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 885, 707, 560
• GCD of 735, 631, 132, 723
• GCD of 235, 113, 901, 621
• GCD of 523, 900, 368, 821
• GCD of 254, 465, 153, 278

Given numbers are 255, 195, 748, 189
The greatest common divisor of numbers 255, 195, 748, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 255, 195, 748, 189 is 1.

1. What is the GCD of 255, 195, 748, 189?

GCD of given numbers 255, 195, 748, 189 is 1

2. How to calculate the greatest common divisor of 255, 195, 748, 189?

We can find the highest common divisor of 255, 195, 748, 189 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 255, 195, 748, 189 i.e 1.

3. How can I use the GCD of 255, 195, 748, 189Calculator?

Out the numbers 255, 195, 748, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.