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GCD of 315, 761, 162 Calculator

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


Online GCD Calculator is useful to find the GCD of 315, 761, 162 quickly. Get the easiest ways to solve the greatest common divisor of 315, 761, 162 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 315, 761, 162 with Factoring?

Given Input numbers are 315, 761, 162

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

Divisors of 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 761 :

The positive integer divisors of 761 that completely divides 761 are.

1, 761

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162


GCD of numbers is the greatest common divisor

So, the GCD (315, 761, 162) = 1.

Find GCD of 315, 761, 162 using Prime Factorization

Given numbers are 315, 761, 162

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 761 are 761

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

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

Steps to Calculate GCD of 315, 761, 162 using LCM Formula

Given numbers are 315, 761, 162

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

Apply this formula for all numbers.

Step1:

LCM(315, 761) = 239715

GCD(315, 761) = ( 315 x 761 ) / 239715

= 315 / 761

= 315


Step2:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1


So, Greatest Common Divisor of 315, 761, 162 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 315, 761, 162

Given numbers are 315, 761, 162
The greatest common divisor of numbers 315, 761, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 761, 162 is 1.

FAQs on GCD of 315, 761, 162 Calculator

1. What is the GCD of 315, 761, 162?

GCD of given numbers 315, 761, 162 is 1


2. How to calculate the greatest common divisor of 315, 761, 162?

We can find the highest common divisor of 315, 761, 162 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 315, 761, 162 i.e 1.


3. How can I use the GCD of 315, 761, 162Calculator?

Out the numbers 315, 761, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.