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GCD of 894, 132, 730, 313 Calculator

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


Online GCD Calculator is useful to find the GCD of 894, 132, 730, 313 quickly. Get the easiest ways to solve the greatest common divisor of 894, 132, 730, 313 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 894, 132, 730, 313 with Factoring?

Given Input numbers are 894, 132, 730, 313

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

Divisors of 894 :

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

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 313 :

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

1, 313


GCD of numbers is the greatest common divisor

So, the GCD (894, 132, 730, 313) = 1.

Find GCD of 894, 132, 730, 313 using Prime Factorization

Given numbers are 894, 132, 730, 313

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 730 are 2 x 5 x 73

Prime factors of 313 are 313

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

Steps to Calculate GCD of 894, 132, 730, 313 using LCM Formula

Given numbers are 894, 132, 730, 313

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

Apply this formula for all numbers.

Step1:

LCM(894, 132) = 19668

GCD(894, 132) = ( 894 x 132 ) / 19668

= 894 / 132

= 894


Step2:

LCM(6, 730) = 2190

GCD(6, 730) = ( 6 x 730 ) / 2190

= 6 / 730

= 6


Step3:

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

= 2 / 313

= 2


So, Greatest Common Divisor of 894, 132, 730, 313 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 894, 132, 730, 313

Given numbers are 894, 132, 730, 313
The greatest common divisor of numbers 894, 132, 730, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 132, 730, 313 is 1.

FAQs on GCD of 894, 132, 730, 313 Calculator

1. What is the GCD of 894, 132, 730, 313?

GCD of given numbers 894, 132, 730, 313 is 1


2. How to calculate the greatest common divisor of 894, 132, 730, 313?

We can find the highest common divisor of 894, 132, 730, 313 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 894, 132, 730, 313 i.e 1.


3. How can I use the GCD of 894, 132, 730, 313Calculator?

Out the numbers 894, 132, 730, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.