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GCD of 986, 890, 981, 272 Calculator

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


Online GCD Calculator is useful to find the GCD of 986, 890, 981, 272 quickly. Get the easiest ways to solve the greatest common divisor of 986, 890, 981, 272 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 986, 890, 981, 272 with Factoring?

Given Input numbers are 986, 890, 981, 272

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

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272


GCD of numbers is the greatest common divisor

So, the GCD (986, 890, 981, 272) = 1.

Find GCD of 986, 890, 981, 272 using Prime Factorization

Given numbers are 986, 890, 981, 272

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 890 are 2 x 5 x 89

Prime factors of 981 are 3 x 3 x 109

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Steps to Calculate GCD of 986, 890, 981, 272 using LCM Formula

Given numbers are 986, 890, 981, 272

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

Apply this formula for all numbers.

Step1:

LCM(986, 890) = 438770

GCD(986, 890) = ( 986 x 890 ) / 438770

= 986 / 890

= 986


Step2:

LCM(2, 981) = 1962

GCD(2, 981) = ( 2 x 981 ) / 1962

= 2 / 981

= 2


Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1


So, Greatest Common Divisor of 986, 890, 981, 272 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 986, 890, 981, 272

Given numbers are 986, 890, 981, 272
The greatest common divisor of numbers 986, 890, 981, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 890, 981, 272 is 1.

FAQs on GCD of 986, 890, 981, 272 Calculator

1. What is the GCD of 986, 890, 981, 272?

GCD of given numbers 986, 890, 981, 272 is 1


2. How to calculate the greatest common divisor of 986, 890, 981, 272?

We can find the highest common divisor of 986, 890, 981, 272 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 986, 890, 981, 272 i.e 1.


3. How can I use the GCD of 986, 890, 981, 272Calculator?

Out the numbers 986, 890, 981, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.