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GCD of 171, 313, 395, 702 Calculator

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


Online GCD Calculator is useful to find the GCD of 171, 313, 395, 702 quickly. Get the easiest ways to solve the greatest common divisor of 171, 313, 395, 702 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 171, 313, 395, 702 with Factoring?

Given Input numbers are 171, 313, 395, 702

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

Divisors of 171 :

The positive integer divisors of 171 that completely divides 171 are.

1, 3, 9, 19, 57, 171

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

Divisors of 395 :

The positive integer divisors of 395 that completely divides 395 are.

1, 5, 79, 395

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702


GCD of numbers is the greatest common divisor

So, the GCD (171, 313, 395, 702) = 1.

Find GCD of 171, 313, 395, 702 using Prime Factorization

Given numbers are 171, 313, 395, 702

The list of prime factors of all numbers are

Prime factors of 171 are 3 x 3 x 19

Prime factors of 313 are 313

Prime factors of 395 are 5 x 79

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

Steps to Calculate GCD of 171, 313, 395, 702 using LCM Formula

Given numbers are 171, 313, 395, 702

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

Apply this formula for all numbers.

Step1:

LCM(171, 313) = 53523

GCD(171, 313) = ( 171 x 313 ) / 53523

= 171 / 313

= 171


Step2:

LCM(1, 395) = 395

GCD(1, 395) = ( 1 x 395 ) / 395

= 1 / 395

= 1


Step3:

LCM(1, 702) = 702

GCD(1, 702) = ( 1 x 702 ) / 702

= 1 / 702

= 1


So, Greatest Common Divisor of 171, 313, 395, 702 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 171, 313, 395, 702

Given numbers are 171, 313, 395, 702
The greatest common divisor of numbers 171, 313, 395, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 171, 313, 395, 702 is 1.

FAQs on GCD of 171, 313, 395, 702 Calculator

1. What is the GCD of 171, 313, 395, 702?

GCD of given numbers 171, 313, 395, 702 is 1


2. How to calculate the greatest common divisor of 171, 313, 395, 702?

We can find the highest common divisor of 171, 313, 395, 702 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 171, 313, 395, 702 i.e 1.


3. How can I use the GCD of 171, 313, 395, 702Calculator?

Out the numbers 171, 313, 395, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.