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GCD of 820, 914, 159, 324 Calculator

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


Online GCD Calculator is useful to find the GCD of 820, 914, 159, 324 quickly. Get the easiest ways to solve the greatest common divisor of 820, 914, 159, 324 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 820, 914, 159, 324 with Factoring?

Given Input numbers are 820, 914, 159, 324

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

Divisors of 820 :

The positive integer divisors of 820 that completely divides 820 are.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 159 :

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

1, 3, 53, 159

Divisors of 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324


GCD of numbers is the greatest common divisor

So, the GCD (820, 914, 159, 324) = 1.

Find GCD of 820, 914, 159, 324 using Prime Factorization

Given numbers are 820, 914, 159, 324

The list of prime factors of all numbers are

Prime factors of 820 are 2 x 2 x 5 x 41

Prime factors of 914 are 2 x 457

Prime factors of 159 are 3 x 53

Prime factors of 324 are 2 x 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 820, 914, 159, 324 using LCM Formula

Given numbers are 820, 914, 159, 324

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

Apply this formula for all numbers.

Step1:

LCM(820, 914) = 374740

GCD(820, 914) = ( 820 x 914 ) / 374740

= 820 / 914

= 820


Step2:

LCM(2, 159) = 318

GCD(2, 159) = ( 2 x 159 ) / 318

= 2 / 159

= 2


Step3:

LCM(1, 324) = 324

GCD(1, 324) = ( 1 x 324 ) / 324

= 1 / 324

= 1


So, Greatest Common Divisor of 820, 914, 159, 324 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 820, 914, 159, 324

Given numbers are 820, 914, 159, 324
The greatest common divisor of numbers 820, 914, 159, 324 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 820, 914, 159, 324 is 1.

FAQs on GCD of 820, 914, 159, 324 Calculator

1. What is the GCD of 820, 914, 159, 324?

GCD of given numbers 820, 914, 159, 324 is 1


2. How to calculate the greatest common divisor of 820, 914, 159, 324?

We can find the highest common divisor of 820, 914, 159, 324 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 820, 914, 159, 324 i.e 1.


3. How can I use the GCD of 820, 914, 159, 324Calculator?

Out the numbers 820, 914, 159, 324 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.