GCD of 108, 692, 697, 135 Calculator

Given Input numbers are 108, 692, 697, 135

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 692 :

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

1, 2, 4, 173, 346, 692

Divisors of 697 :

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

1, 17, 41, 697

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (108, 692, 697, 135) = 1.

Given numbers are 108, 692, 697, 135

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 692 are 2 x 2 x 173

Prime factors of 697 are 17 x 41

Prime factors of 135 are 3 x 3 x 3 x 5

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

Given numbers are 108, 692, 697, 135

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

Apply this formula for all numbers.

Step1:

LCM(108, 692) = 18684

GCD(108, 692) = ( 108 x 692 ) / 18684

= 108 / 692

= 108

Step2:

LCM(4, 697) = 2788

GCD(4, 697) = ( 4 x 697 ) / 2788

= 4 / 697

= 4

Step3:

LCM(1, 135) = 135

GCD(1, 135) = ( 1 x 135 ) / 135

= 1 / 135

= 1

So, Greatest Common Divisor of 108, 692, 697, 135 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 522, 702, 160
• GCD of 436, 658, 140, 671
• GCD of 761, 218, 292, 930
• GCD of 114, 266, 668, 942
• GCD of 952, 788, 634, 281

Given numbers are 108, 692, 697, 135
The greatest common divisor of numbers 108, 692, 697, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 692, 697, 135 is 1.

1. What is the GCD of 108, 692, 697, 135?

GCD of given numbers 108, 692, 697, 135 is 1

2. How to calculate the greatest common divisor of 108, 692, 697, 135?

We can find the highest common divisor of 108, 692, 697, 135 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, 692, 697, 135 i.e 1.

3. How can I use the GCD of 108, 692, 697, 135Calculator?

Out the numbers 108, 692, 697, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.