GCD of 117, 688, 68, 990 Calculator

Given Input numbers are 117, 688, 68, 990

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

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 68 :

The positive integer divisors of 68 that completely divides 68 are.

1, 2, 4, 17, 34, 68

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (117, 688, 68, 990) = 1.

Given numbers are 117, 688, 68, 990

The list of prime factors of all numbers are

Prime factors of 117 are 3 x 3 x 13

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 68 are 2 x 2 x 17

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Given numbers are 117, 688, 68, 990

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

Apply this formula for all numbers.

Step1:

LCM(117, 688) = 80496

GCD(117, 688) = ( 117 x 688 ) / 80496

= 117 / 688

= 117

Step2:

LCM(1, 68) = 68

GCD(1, 68) = ( 1 x 68 ) / 68

= 1 / 68

= 1

Step3:

LCM(1, 990) = 990

GCD(1, 990) = ( 1 x 990 ) / 990

= 1 / 990

= 1

So, Greatest Common Divisor of 117, 688, 68, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 361, 71, 395
• GCD of 421, 487, 29, 600
• GCD of 846, 882, 91, 792
• GCD of 876, 459, 11, 587
• GCD of 873, 770, 73, 160

Given numbers are 117, 688, 68, 990
The greatest common divisor of numbers 117, 688, 68, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 117, 688, 68, 990 is 1.

1. What is the GCD of 117, 688, 68, 990?

GCD of given numbers 117, 688, 68, 990 is 1

2. How to calculate the greatest common divisor of 117, 688, 68, 990?

We can find the highest common divisor of 117, 688, 68, 990 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 117, 688, 68, 990 i.e 1.

3. How can I use the GCD of 117, 688, 68, 990Calculator?

Out the numbers 117, 688, 68, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.