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GCD of 945, 361, 894, 321 Calculator

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


Online GCD Calculator is useful to find the GCD of 945, 361, 894, 321 quickly. Get the easiest ways to solve the greatest common divisor of 945, 361, 894, 321 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 945, 361, 894, 321 with Factoring?

Given Input numbers are 945, 361, 894, 321

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

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321


GCD of numbers is the greatest common divisor

So, the GCD (945, 361, 894, 321) = 1.

Find GCD of 945, 361, 894, 321 using Prime Factorization

Given numbers are 945, 361, 894, 321

The list of prime factors of all numbers are

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 361 are 19 x 19

Prime factors of 894 are 2 x 3 x 149

Prime factors of 321 are 3 x 107

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

Steps to Calculate GCD of 945, 361, 894, 321 using LCM Formula

Given numbers are 945, 361, 894, 321

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

Apply this formula for all numbers.

Step1:

LCM(945, 361) = 341145

GCD(945, 361) = ( 945 x 361 ) / 341145

= 945 / 361

= 945


Step2:

LCM(1, 894) = 894

GCD(1, 894) = ( 1 x 894 ) / 894

= 1 / 894

= 1


Step3:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1


So, Greatest Common Divisor of 945, 361, 894, 321 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 945, 361, 894, 321

Given numbers are 945, 361, 894, 321
The greatest common divisor of numbers 945, 361, 894, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 361, 894, 321 is 1.

FAQs on GCD of 945, 361, 894, 321 Calculator

1. What is the GCD of 945, 361, 894, 321?

GCD of given numbers 945, 361, 894, 321 is 1


2. How to calculate the greatest common divisor of 945, 361, 894, 321?

We can find the highest common divisor of 945, 361, 894, 321 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 945, 361, 894, 321 i.e 1.


3. How can I use the GCD of 945, 361, 894, 321Calculator?

Out the numbers 945, 361, 894, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.