GCD of 168, 117, 77, 990 Calculator

Given Input numbers are 168, 117, 77, 990

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 117 :

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

1, 3, 9, 13, 39, 117

Divisors of 77 :

The positive integer divisors of 77 that completely divides 77 are.

1, 7, 11, 77

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 (168, 117, 77, 990) = 1.

Given numbers are 168, 117, 77, 990

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 117 are 3 x 3 x 13

Prime factors of 77 are 7 x 11

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 168, 117, 77, 990

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

Apply this formula for all numbers.

Step1:

LCM(168, 117) = 6552

GCD(168, 117) = ( 168 x 117 ) / 6552

= 168 / 117

= 168

Step2:

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

= 3 / 77

= 3

Step3:

LCM(1, 990) = 990

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

= 1 / 990

= 1

So, Greatest Common Divisor of 168, 117, 77, 990 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 643, 516, 72, 859
• GCD of 149, 918, 30, 391
• GCD of 748, 582, 96, 205
• GCD of 458, 687, 18, 211
• GCD of 802, 363, 33, 659

Given numbers are 168, 117, 77, 990
The greatest common divisor of numbers 168, 117, 77, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 117, 77, 990 is 1.

1. What is the GCD of 168, 117, 77, 990?

GCD of given numbers 168, 117, 77, 990 is 1

2. How to calculate the greatest common divisor of 168, 117, 77, 990?

We can find the highest common divisor of 168, 117, 77, 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 168, 117, 77, 990 i.e 1.

3. How can I use the GCD of 168, 117, 77, 990Calculator?

Out the numbers 168, 117, 77, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.