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GCD of 180, 625, 994, 892 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, 625, 994, 892 quickly. Get the easiest ways to solve the greatest common divisor of 180, 625, 994, 892 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 180, 625, 994, 892 with Factoring?

Given Input numbers are 180, 625, 994, 892

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 625 :

The positive integer divisors of 625 that completely divides 625 are.

1, 5, 25, 125, 625

Divisors of 994 :

The positive integer divisors of 994 that completely divides 994 are.

1, 2, 7, 14, 71, 142, 497, 994

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892


GCD of numbers is the greatest common divisor

So, the GCD (180, 625, 994, 892) = 1.

Find GCD of 180, 625, 994, 892 using Prime Factorization

Given numbers are 180, 625, 994, 892

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 625 are 5 x 5 x 5 x 5

Prime factors of 994 are 2 x 7 x 71

Prime factors of 892 are 2 x 2 x 223

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

Steps to Calculate GCD of 180, 625, 994, 892 using LCM Formula

Given numbers are 180, 625, 994, 892

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

Apply this formula for all numbers.

Step1:

LCM(180, 625) = 22500

GCD(180, 625) = ( 180 x 625 ) / 22500

= 180 / 625

= 180


Step2:

LCM(5, 994) = 4970

GCD(5, 994) = ( 5 x 994 ) / 4970

= 5 / 994

= 5


Step3:

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

= 1 / 892

= 1


So, Greatest Common Divisor of 180, 625, 994, 892 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 180, 625, 994, 892

Given numbers are 180, 625, 994, 892
The greatest common divisor of numbers 180, 625, 994, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 625, 994, 892 is 1.

FAQs on GCD of 180, 625, 994, 892 Calculator

1. What is the GCD of 180, 625, 994, 892?

GCD of given numbers 180, 625, 994, 892 is 1


2. How to calculate the greatest common divisor of 180, 625, 994, 892?

We can find the highest common divisor of 180, 625, 994, 892 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, 625, 994, 892 i.e 1.


3. How can I use the GCD of 180, 625, 994, 892Calculator?

Out the numbers 180, 625, 994, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.