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GCD of 986, 760, 843, 364 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, 760, 843, 364 quickly. Get the easiest ways to solve the greatest common divisor of 986, 760, 843, 364 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 986, 760, 843, 364 with Factoring?

Given Input numbers are 986, 760, 843, 364

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 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 843 :

The positive integer divisors of 843 that completely divides 843 are.

1, 3, 281, 843

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364


GCD of numbers is the greatest common divisor

So, the GCD (986, 760, 843, 364) = 1.

Find GCD of 986, 760, 843, 364 using Prime Factorization

Given numbers are 986, 760, 843, 364

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

Prime factors of 843 are 3 x 281

Prime factors of 364 are 2 x 2 x 7 x 13

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

Steps to Calculate GCD of 986, 760, 843, 364 using LCM Formula

Given numbers are 986, 760, 843, 364

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

Apply this formula for all numbers.

Step1:

LCM(986, 760) = 374680

GCD(986, 760) = ( 986 x 760 ) / 374680

= 986 / 760

= 986


Step2:

LCM(2, 843) = 1686

GCD(2, 843) = ( 2 x 843 ) / 1686

= 2 / 843

= 2


Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1


So, Greatest Common Divisor of 986, 760, 843, 364 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 986, 760, 843, 364

Given numbers are 986, 760, 843, 364
The greatest common divisor of numbers 986, 760, 843, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 760, 843, 364 is 1.

FAQs on GCD of 986, 760, 843, 364 Calculator

1. What is the GCD of 986, 760, 843, 364?

GCD of given numbers 986, 760, 843, 364 is 1


2. How to calculate the greatest common divisor of 986, 760, 843, 364?

We can find the highest common divisor of 986, 760, 843, 364 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, 760, 843, 364 i.e 1.


3. How can I use the GCD of 986, 760, 843, 364Calculator?

Out the numbers 986, 760, 843, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.