LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 864, 993, 725, 657 Calculator

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


Online GCD Calculator is useful to find the GCD of 864, 993, 725, 657 quickly. Get the easiest ways to solve the greatest common divisor of 864, 993, 725, 657 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 864, 993, 725, 657 with Factoring?

Given Input numbers are 864, 993, 725, 657

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 993 :

The positive integer divisors of 993 that completely divides 993 are.

1, 3, 331, 993

Divisors of 725 :

The positive integer divisors of 725 that completely divides 725 are.

1, 5, 25, 29, 145, 725

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657


GCD of numbers is the greatest common divisor

So, the GCD (864, 993, 725, 657) = 1.

Find GCD of 864, 993, 725, 657 using Prime Factorization

Given numbers are 864, 993, 725, 657

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 993 are 3 x 331

Prime factors of 725 are 5 x 5 x 29

Prime factors of 657 are 3 x 3 x 73

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

Steps to Calculate GCD of 864, 993, 725, 657 using LCM Formula

Given numbers are 864, 993, 725, 657

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

Apply this formula for all numbers.

Step1:

LCM(864, 993) = 285984

GCD(864, 993) = ( 864 x 993 ) / 285984

= 864 / 993

= 864


Step2:

LCM(3, 725) = 2175

GCD(3, 725) = ( 3 x 725 ) / 2175

= 3 / 725

= 3


Step3:

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

= 1 / 657

= 1


So, Greatest Common Divisor of 864, 993, 725, 657 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 864, 993, 725, 657

Given numbers are 864, 993, 725, 657
The greatest common divisor of numbers 864, 993, 725, 657 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 993, 725, 657 is 1.

FAQs on GCD of 864, 993, 725, 657 Calculator

1. What is the GCD of 864, 993, 725, 657?

GCD of given numbers 864, 993, 725, 657 is 1


2. How to calculate the greatest common divisor of 864, 993, 725, 657?

We can find the highest common divisor of 864, 993, 725, 657 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 864, 993, 725, 657 i.e 1.


3. How can I use the GCD of 864, 993, 725, 657Calculator?

Out the numbers 864, 993, 725, 657 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.