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GCD of 872, 888, 768, 785 Calculator

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


Online GCD Calculator is useful to find the GCD of 872, 888, 768, 785 quickly. Get the easiest ways to solve the greatest common divisor of 872, 888, 768, 785 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 872, 888, 768, 785 with Factoring?

Given Input numbers are 872, 888, 768, 785

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 768 :

The positive integer divisors of 768 that completely divides 768 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

Divisors of 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785


GCD of numbers is the greatest common divisor

So, the GCD (872, 888, 768, 785) = 1.

Find GCD of 872, 888, 768, 785 using Prime Factorization

Given numbers are 872, 888, 768, 785

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 785 are 5 x 157

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

Steps to Calculate GCD of 872, 888, 768, 785 using LCM Formula

Given numbers are 872, 888, 768, 785

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

Apply this formula for all numbers.

Step1:

LCM(872, 888) = 96792

GCD(872, 888) = ( 872 x 888 ) / 96792

= 872 / 888

= 872


Step2:

LCM(8, 768) = 768

GCD(8, 768) = ( 8 x 768 ) / 768

= 8 / 768

= 8


Step3:

LCM(8, 785) = 6280

GCD(8, 785) = ( 8 x 785 ) / 6280

= 8 / 785

= 8


So, Greatest Common Divisor of 872, 888, 768, 785 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 872, 888, 768, 785

Given numbers are 872, 888, 768, 785
The greatest common divisor of numbers 872, 888, 768, 785 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 888, 768, 785 is 1.

FAQs on GCD of 872, 888, 768, 785 Calculator

1. What is the GCD of 872, 888, 768, 785?

GCD of given numbers 872, 888, 768, 785 is 1


2. How to calculate the greatest common divisor of 872, 888, 768, 785?

We can find the highest common divisor of 872, 888, 768, 785 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 872, 888, 768, 785 i.e 1.


3. How can I use the GCD of 872, 888, 768, 785Calculator?

Out the numbers 872, 888, 768, 785 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.