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GCD of 894, 680, 768, 755 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, 680, 768, 755 quickly. Get the easiest ways to solve the greatest common divisor of 894, 680, 768, 755 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 894, 680, 768, 755 with Factoring?

Given Input numbers are 894, 680, 768, 755

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 680 :

The positive integer divisors of 680 that completely divides 680 are.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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 755 :

The positive integer divisors of 755 that completely divides 755 are.

1, 5, 151, 755


GCD of numbers is the greatest common divisor

So, the GCD (894, 680, 768, 755) = 1.

Find GCD of 894, 680, 768, 755 using Prime Factorization

Given numbers are 894, 680, 768, 755

The list of prime factors of all numbers are

Prime factors of 894 are 2 x 3 x 149

Prime factors of 680 are 2 x 2 x 2 x 5 x 17

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 755 are 5 x 151

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

Steps to Calculate GCD of 894, 680, 768, 755 using LCM Formula

Given numbers are 894, 680, 768, 755

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

Apply this formula for all numbers.

Step1:

LCM(894, 680) = 303960

GCD(894, 680) = ( 894 x 680 ) / 303960

= 894 / 680

= 894


Step2:

LCM(2, 768) = 768

GCD(2, 768) = ( 2 x 768 ) / 768

= 2 / 768

= 2


Step3:

LCM(2, 755) = 1510

GCD(2, 755) = ( 2 x 755 ) / 1510

= 2 / 755

= 2


So, Greatest Common Divisor of 894, 680, 768, 755 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 894, 680, 768, 755

Given numbers are 894, 680, 768, 755
The greatest common divisor of numbers 894, 680, 768, 755 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 894, 680, 768, 755 is 1.

FAQs on GCD of 894, 680, 768, 755 Calculator

1. What is the GCD of 894, 680, 768, 755?

GCD of given numbers 894, 680, 768, 755 is 1


2. How to calculate the greatest common divisor of 894, 680, 768, 755?

We can find the highest common divisor of 894, 680, 768, 755 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, 680, 768, 755 i.e 1.


3. How can I use the GCD of 894, 680, 768, 755Calculator?

Out the numbers 894, 680, 768, 755 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.