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GCD of 986, 199, 814, 695 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, 199, 814, 695 quickly. Get the easiest ways to solve the greatest common divisor of 986, 199, 814, 695 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 986, 199, 814, 695 with Factoring?

Given Input numbers are 986, 199, 814, 695

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 199 :

The positive integer divisors of 199 that completely divides 199 are.

1, 199

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 695 :

The positive integer divisors of 695 that completely divides 695 are.

1, 5, 139, 695


GCD of numbers is the greatest common divisor

So, the GCD (986, 199, 814, 695) = 1.

Find GCD of 986, 199, 814, 695 using Prime Factorization

Given numbers are 986, 199, 814, 695

The list of prime factors of all numbers are

Prime factors of 986 are 2 x 17 x 29

Prime factors of 199 are 199

Prime factors of 814 are 2 x 11 x 37

Prime factors of 695 are 5 x 139

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

Steps to Calculate GCD of 986, 199, 814, 695 using LCM Formula

Given numbers are 986, 199, 814, 695

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

Apply this formula for all numbers.

Step1:

LCM(986, 199) = 196214

GCD(986, 199) = ( 986 x 199 ) / 196214

= 986 / 199

= 986


Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1


Step3:

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

= 1 / 695

= 1


So, Greatest Common Divisor of 986, 199, 814, 695 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 986, 199, 814, 695

Given numbers are 986, 199, 814, 695
The greatest common divisor of numbers 986, 199, 814, 695 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 986, 199, 814, 695 is 1.

FAQs on GCD of 986, 199, 814, 695 Calculator

1. What is the GCD of 986, 199, 814, 695?

GCD of given numbers 986, 199, 814, 695 is 1


2. How to calculate the greatest common divisor of 986, 199, 814, 695?

We can find the highest common divisor of 986, 199, 814, 695 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, 199, 814, 695 i.e 1.


3. How can I use the GCD of 986, 199, 814, 695Calculator?

Out the numbers 986, 199, 814, 695 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.