GCD of 692, 110, 122, 189 Calculator

Given Input numbers are 692, 110, 122, 189

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

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 110 :

The positive integer divisors of 110 that completely divides 110 are.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 122 :

The positive integer divisors of 122 that completely divides 122 are.

1, 2, 61, 122

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 (692, 110, 122, 189) = 1.

Given numbers are 692, 110, 122, 189

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 110 are 2 x 5 x 11

Prime factors of 122 are 2 x 61

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 692, 110, 122, 189

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

Apply this formula for all numbers.

Step1:

LCM(692, 110) = 38060

GCD(692, 110) = ( 692 x 110 ) / 38060

= 692 / 110

= 692

Step2:

LCM(2, 122) = 122

GCD(2, 122) = ( 2 x 122 ) / 122

= 2 / 122

= 2

Step3:

LCM(2, 189) = 378

GCD(2, 189) = ( 2 x 189 ) / 378

= 2 / 189

= 2

So, Greatest Common Divisor of 692, 110, 122, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 481, 467, 254
• GCD of 781, 288, 857, 223
• GCD of 508, 520, 437, 974
• GCD of 565, 271, 182, 775
• GCD of 491, 483, 537, 928

Given numbers are 692, 110, 122, 189
The greatest common divisor of numbers 692, 110, 122, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 110, 122, 189 is 1.

1. What is the GCD of 692, 110, 122, 189?

GCD of given numbers 692, 110, 122, 189 is 1

2. How to calculate the greatest common divisor of 692, 110, 122, 189?

We can find the highest common divisor of 692, 110, 122, 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 692, 110, 122, 189 i.e 1.

3. How can I use the GCD of 692, 110, 122, 189Calculator?

Out the numbers 692, 110, 122, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.