GCD of 108, 190, 697, 660 Calculator

Given Input numbers are 108, 190, 697, 660

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 190 :

The positive integer divisors of 190 that completely divides 190 are.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (108, 190, 697, 660) = 1.

Given numbers are 108, 190, 697, 660

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 190 are 2 x 5 x 19

Prime factors of 697 are 17 x 41

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

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

Given numbers are 108, 190, 697, 660

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

Apply this formula for all numbers.

Step1:

LCM(108, 190) = 10260

GCD(108, 190) = ( 108 x 190 ) / 10260

= 108 / 190

= 108

Step2:

LCM(2, 697) = 1394

GCD(2, 697) = ( 2 x 697 ) / 1394

= 2 / 697

= 2

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 108, 190, 697, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 320, 245, 485, 705
• GCD of 858, 618, 327, 308
• GCD of 355, 846, 419, 390
• GCD of 351, 124, 427, 787
• GCD of 702, 953, 182, 455

Given numbers are 108, 190, 697, 660
The greatest common divisor of numbers 108, 190, 697, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 190, 697, 660 is 1.

1. What is the GCD of 108, 190, 697, 660?

GCD of given numbers 108, 190, 697, 660 is 1

2. How to calculate the greatest common divisor of 108, 190, 697, 660?

We can find the highest common divisor of 108, 190, 697, 660 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, 190, 697, 660 i.e 1.

3. How can I use the GCD of 108, 190, 697, 660Calculator?

Out the numbers 108, 190, 697, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.