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GCD of 517, 697, 136, 986 Calculator

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


Online GCD Calculator is useful to find the GCD of 517, 697, 136, 986 quickly. Get the easiest ways to solve the greatest common divisor of 517, 697, 136, 986 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 517, 697, 136, 986 with Factoring?

Given Input numbers are 517, 697, 136, 986

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

Divisors of 517 :

The positive integer divisors of 517 that completely divides 517 are.

1, 11, 47, 517

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 136 :

The positive integer divisors of 136 that completely divides 136 are.

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

Divisors of 986 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (517, 697, 136, 986) = 1.

Find GCD of 517, 697, 136, 986 using Prime Factorization

Given numbers are 517, 697, 136, 986

The list of prime factors of all numbers are

Prime factors of 517 are 11 x 47

Prime factors of 697 are 17 x 41

Prime factors of 136 are 2 x 2 x 2 x 17

Prime factors of 986 are 2 x 17 x 29

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

Steps to Calculate GCD of 517, 697, 136, 986 using LCM Formula

Given numbers are 517, 697, 136, 986

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

Apply this formula for all numbers.

Step1:

LCM(517, 697) = 360349

GCD(517, 697) = ( 517 x 697 ) / 360349

= 517 / 697

= 517


Step2:

LCM(1, 136) = 136

GCD(1, 136) = ( 1 x 136 ) / 136

= 1 / 136

= 1


Step3:

LCM(1, 986) = 986

GCD(1, 986) = ( 1 x 986 ) / 986

= 1 / 986

= 1


So, Greatest Common Divisor of 517, 697, 136, 986 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 517, 697, 136, 986

Given numbers are 517, 697, 136, 986
The greatest common divisor of numbers 517, 697, 136, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 517, 697, 136, 986 is 1.

FAQs on GCD of 517, 697, 136, 986 Calculator

1. What is the GCD of 517, 697, 136, 986?

GCD of given numbers 517, 697, 136, 986 is 1


2. How to calculate the greatest common divisor of 517, 697, 136, 986?

We can find the highest common divisor of 517, 697, 136, 986 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 517, 697, 136, 986 i.e 1.


3. How can I use the GCD of 517, 697, 136, 986Calculator?

Out the numbers 517, 697, 136, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.