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GCD of 180, 796, 992, 775 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 180, 796, 992, 775 quickly. Get the easiest ways to solve the greatest common divisor of 180, 796, 992, 775 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 796, 992, 775 with Factoring?

Given Input numbers are 180, 796, 992, 775

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

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 775 :

The positive integer divisors of 775 that completely divides 775 are.

1, 5, 25, 31, 155, 775


GCD of numbers is the greatest common divisor

So, the GCD (180, 796, 992, 775) = 1.

Find GCD of 180, 796, 992, 775 using Prime Factorization

Given numbers are 180, 796, 992, 775

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 796 are 2 x 2 x 199

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

Prime factors of 775 are 5 x 5 x 31

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

Steps to Calculate GCD of 180, 796, 992, 775 using LCM Formula

Given numbers are 180, 796, 992, 775

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

Apply this formula for all numbers.

Step1:

LCM(180, 796) = 35820

GCD(180, 796) = ( 180 x 796 ) / 35820

= 180 / 796

= 180


Step2:

LCM(4, 992) = 992

GCD(4, 992) = ( 4 x 992 ) / 992

= 4 / 992

= 4


Step3:

LCM(4, 775) = 3100

GCD(4, 775) = ( 4 x 775 ) / 3100

= 4 / 775

= 4


So, Greatest Common Divisor of 180, 796, 992, 775 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 796, 992, 775

Given numbers are 180, 796, 992, 775
The greatest common divisor of numbers 180, 796, 992, 775 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 796, 992, 775 is 1.

FAQs on GCD of 180, 796, 992, 775 Calculator

1. What is the GCD of 180, 796, 992, 775?

GCD of given numbers 180, 796, 992, 775 is 1


2. How to calculate the greatest common divisor of 180, 796, 992, 775?

We can find the highest common divisor of 180, 796, 992, 775 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 180, 796, 992, 775 i.e 1.


3. How can I use the GCD of 180, 796, 992, 775Calculator?

Out the numbers 180, 796, 992, 775 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.