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GCD of 894, 432, 371, 746 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, 432, 371, 746 quickly. Get the easiest ways to solve the greatest common divisor of 894, 432, 371, 746 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 894, 432, 371, 746 with Factoring?

Given Input numbers are 894, 432, 371, 746

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 432 :

The positive integer divisors of 432 that completely divides 432 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746


GCD of numbers is the greatest common divisor

So, the GCD (894, 432, 371, 746) = 1.

Find GCD of 894, 432, 371, 746 using Prime Factorization

Given numbers are 894, 432, 371, 746

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 371 are 7 x 53

Prime factors of 746 are 2 x 373

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

Steps to Calculate GCD of 894, 432, 371, 746 using LCM Formula

Given numbers are 894, 432, 371, 746

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

Apply this formula for all numbers.

Step1:

LCM(894, 432) = 64368

GCD(894, 432) = ( 894 x 432 ) / 64368

= 894 / 432

= 894


Step2:

LCM(6, 371) = 2226

GCD(6, 371) = ( 6 x 371 ) / 2226

= 6 / 371

= 6


Step3:

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

= 1 / 746

= 1


So, Greatest Common Divisor of 894, 432, 371, 746 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 894, 432, 371, 746

Given numbers are 894, 432, 371, 746
The greatest common divisor of numbers 894, 432, 371, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 432, 371, 746 is 1.

FAQs on GCD of 894, 432, 371, 746 Calculator

1. What is the GCD of 894, 432, 371, 746?

GCD of given numbers 894, 432, 371, 746 is 1


2. How to calculate the greatest common divisor of 894, 432, 371, 746?

We can find the highest common divisor of 894, 432, 371, 746 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, 432, 371, 746 i.e 1.


3. How can I use the GCD of 894, 432, 371, 746Calculator?

Out the numbers 894, 432, 371, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.