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GCD of 889, 249, 616, 360 Calculator

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


Online GCD Calculator is useful to find the GCD of 889, 249, 616, 360 quickly. Get the easiest ways to solve the greatest common divisor of 889, 249, 616, 360 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 889, 249, 616, 360 with Factoring?

Given Input numbers are 889, 249, 616, 360

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

Divisors of 889 :

The positive integer divisors of 889 that completely divides 889 are.

1, 7, 127, 889

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360


GCD of numbers is the greatest common divisor

So, the GCD (889, 249, 616, 360) = 1.

Find GCD of 889, 249, 616, 360 using Prime Factorization

Given numbers are 889, 249, 616, 360

The list of prime factors of all numbers are

Prime factors of 889 are 7 x 127

Prime factors of 249 are 3 x 83

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Steps to Calculate GCD of 889, 249, 616, 360 using LCM Formula

Given numbers are 889, 249, 616, 360

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

Apply this formula for all numbers.

Step1:

LCM(889, 249) = 221361

GCD(889, 249) = ( 889 x 249 ) / 221361

= 889 / 249

= 889


Step2:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1


Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1


So, Greatest Common Divisor of 889, 249, 616, 360 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 889, 249, 616, 360

Given numbers are 889, 249, 616, 360
The greatest common divisor of numbers 889, 249, 616, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 889, 249, 616, 360 is 1.

FAQs on GCD of 889, 249, 616, 360 Calculator

1. What is the GCD of 889, 249, 616, 360?

GCD of given numbers 889, 249, 616, 360 is 1


2. How to calculate the greatest common divisor of 889, 249, 616, 360?

We can find the highest common divisor of 889, 249, 616, 360 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 889, 249, 616, 360 i.e 1.


3. How can I use the GCD of 889, 249, 616, 360Calculator?

Out the numbers 889, 249, 616, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.