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GCD of 986, 134, 849, 290 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, 134, 849, 290 quickly. Get the easiest ways to solve the greatest common divisor of 986, 134, 849, 290 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 986, 134, 849, 290 with Factoring?

Given Input numbers are 986, 134, 849, 290

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 134 :

The positive integer divisors of 134 that completely divides 134 are.

1, 2, 67, 134

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290


GCD of numbers is the greatest common divisor

So, the GCD (986, 134, 849, 290) = 1.

Find GCD of 986, 134, 849, 290 using Prime Factorization

Given numbers are 986, 134, 849, 290

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 134 are 2 x 67

Prime factors of 849 are 3 x 283

Prime factors of 290 are 2 x 5 x 29

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

Steps to Calculate GCD of 986, 134, 849, 290 using LCM Formula

Given numbers are 986, 134, 849, 290

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

Apply this formula for all numbers.

Step1:

LCM(986, 134) = 66062

GCD(986, 134) = ( 986 x 134 ) / 66062

= 986 / 134

= 986


Step2:

LCM(2, 849) = 1698

GCD(2, 849) = ( 2 x 849 ) / 1698

= 2 / 849

= 2


Step3:

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

= 1 / 290

= 1


So, Greatest Common Divisor of 986, 134, 849, 290 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 986, 134, 849, 290

Given numbers are 986, 134, 849, 290
The greatest common divisor of numbers 986, 134, 849, 290 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 134, 849, 290 is 1.

FAQs on GCD of 986, 134, 849, 290 Calculator

1. What is the GCD of 986, 134, 849, 290?

GCD of given numbers 986, 134, 849, 290 is 1


2. How to calculate the greatest common divisor of 986, 134, 849, 290?

We can find the highest common divisor of 986, 134, 849, 290 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, 134, 849, 290 i.e 1.


3. How can I use the GCD of 986, 134, 849, 290Calculator?

Out the numbers 986, 134, 849, 290 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.