GCD of 168, 195, 420, 992 Calculator

Given Input numbers are 168, 195, 420, 992

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 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 992 :

The positive integer divisors of 992 that completely divides 992 are.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

GCD of numbers is the greatest common divisor

So, the GCD (168, 195, 420, 992) = 1.

Given numbers are 168, 195, 420, 992

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 195 are 3 x 5 x 13

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31

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

Given numbers are 168, 195, 420, 992

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

Apply this formula for all numbers.

Step1:

LCM(168, 195) = 10920

GCD(168, 195) = ( 168 x 195 ) / 10920

= 168 / 195

= 168

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 992) = 2976

GCD(3, 992) = ( 3 x 992 ) / 2976

= 3 / 992

= 3

So, Greatest Common Divisor of 168, 195, 420, 992 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 328, 307, 299, 609
• GCD of 490, 406, 844, 373
• GCD of 453, 897, 833, 531
• GCD of 701, 811, 746, 848
• GCD of 532, 839, 488, 608

Given numbers are 168, 195, 420, 992
The greatest common divisor of numbers 168, 195, 420, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 195, 420, 992 is 1.

1. What is the GCD of 168, 195, 420, 992?

GCD of given numbers 168, 195, 420, 992 is 1

2. How to calculate the greatest common divisor of 168, 195, 420, 992?

We can find the highest common divisor of 168, 195, 420, 992 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, 195, 420, 992 i.e 1.

3. How can I use the GCD of 168, 195, 420, 992Calculator?

Out the numbers 168, 195, 420, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.