GCD of 992, 144, 71, 855 Calculator

Given Input numbers are 992, 144, 71, 855

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

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 71 :

The positive integer divisors of 71 that completely divides 71 are.

1, 71

Divisors of 855 :

The positive integer divisors of 855 that completely divides 855 are.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

GCD of numbers is the greatest common divisor

So, the GCD (992, 144, 71, 855) = 1.

Given numbers are 992, 144, 71, 855

The list of prime factors of all numbers are

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 71 are 71

Prime factors of 855 are 3 x 3 x 5 x 19

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

Given numbers are 992, 144, 71, 855

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

Apply this formula for all numbers.

Step1:

LCM(992, 144) = 8928

GCD(992, 144) = ( 992 x 144 ) / 8928

= 992 / 144

= 992

Step2:

LCM(16, 71) = 1136

GCD(16, 71) = ( 16 x 71 ) / 1136

= 16 / 71

= 16

Step3:

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

= 1 / 855

= 1

So, Greatest Common Divisor of 992, 144, 71, 855 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 482, 285, 63, 311
• GCD of 448, 454, 38, 717
• GCD of 620, 817, 32, 499
• GCD of 911, 852, 69, 792
• GCD of 679, 319, 71, 248

Given numbers are 992, 144, 71, 855
The greatest common divisor of numbers 992, 144, 71, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 144, 71, 855 is 1.

1. What is the GCD of 992, 144, 71, 855?

GCD of given numbers 992, 144, 71, 855 is 1

2. How to calculate the greatest common divisor of 992, 144, 71, 855?

We can find the highest common divisor of 992, 144, 71, 855 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 992, 144, 71, 855 i.e 1.

3. How can I use the GCD of 992, 144, 71, 855Calculator?

Out the numbers 992, 144, 71, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.