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GCD of 894, 320, 852, 977 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, 320, 852, 977 quickly. Get the easiest ways to solve the greatest common divisor of 894, 320, 852, 977 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 894, 320, 852, 977 with Factoring?

Given Input numbers are 894, 320, 852, 977

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 977 :

The positive integer divisors of 977 that completely divides 977 are.

1, 977


GCD of numbers is the greatest common divisor

So, the GCD (894, 320, 852, 977) = 1.

Find GCD of 894, 320, 852, 977 using Prime Factorization

Given numbers are 894, 320, 852, 977

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 977 are 977

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

Steps to Calculate GCD of 894, 320, 852, 977 using LCM Formula

Given numbers are 894, 320, 852, 977

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

Apply this formula for all numbers.

Step1:

LCM(894, 320) = 143040

GCD(894, 320) = ( 894 x 320 ) / 143040

= 894 / 320

= 894


Step2:

LCM(2, 852) = 852

GCD(2, 852) = ( 2 x 852 ) / 852

= 2 / 852

= 2


Step3:

LCM(2, 977) = 1954

GCD(2, 977) = ( 2 x 977 ) / 1954

= 2 / 977

= 2


So, Greatest Common Divisor of 894, 320, 852, 977 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 894, 320, 852, 977

Given numbers are 894, 320, 852, 977
The greatest common divisor of numbers 894, 320, 852, 977 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 320, 852, 977 is 1.

FAQs on GCD of 894, 320, 852, 977 Calculator

1. What is the GCD of 894, 320, 852, 977?

GCD of given numbers 894, 320, 852, 977 is 1


2. How to calculate the greatest common divisor of 894, 320, 852, 977?

We can find the highest common divisor of 894, 320, 852, 977 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, 320, 852, 977 i.e 1.


3. How can I use the GCD of 894, 320, 852, 977Calculator?

Out the numbers 894, 320, 852, 977 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.