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GCD of 686, 984, 271, 159 Calculator

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


Online GCD Calculator is useful to find the GCD of 686, 984, 271, 159 quickly. Get the easiest ways to solve the greatest common divisor of 686, 984, 271, 159 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 686, 984, 271, 159 with Factoring?

Given Input numbers are 686, 984, 271, 159

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Divisors of 271 :

The positive integer divisors of 271 that completely divides 271 are.

1, 271

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159


GCD of numbers is the greatest common divisor

So, the GCD (686, 984, 271, 159) = 1.

Find GCD of 686, 984, 271, 159 using Prime Factorization

Given numbers are 686, 984, 271, 159

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

Prime factors of 271 are 271

Prime factors of 159 are 3 x 53

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

Steps to Calculate GCD of 686, 984, 271, 159 using LCM Formula

Given numbers are 686, 984, 271, 159

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

Apply this formula for all numbers.

Step1:

LCM(686, 984) = 337512

GCD(686, 984) = ( 686 x 984 ) / 337512

= 686 / 984

= 686


Step2:

LCM(2, 271) = 542

GCD(2, 271) = ( 2 x 271 ) / 542

= 2 / 271

= 2


Step3:

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

= 1 / 159

= 1


So, Greatest Common Divisor of 686, 984, 271, 159 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 686, 984, 271, 159

Given numbers are 686, 984, 271, 159
The greatest common divisor of numbers 686, 984, 271, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 984, 271, 159 is 1.

FAQs on GCD of 686, 984, 271, 159 Calculator

1. What is the GCD of 686, 984, 271, 159?

GCD of given numbers 686, 984, 271, 159 is 1


2. How to calculate the greatest common divisor of 686, 984, 271, 159?

We can find the highest common divisor of 686, 984, 271, 159 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 686, 984, 271, 159 i.e 1.


3. How can I use the GCD of 686, 984, 271, 159Calculator?

Out the numbers 686, 984, 271, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.