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 891, 268, 580, 516 Calculator

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


Online GCD Calculator is useful to find the GCD of 891, 268, 580, 516 quickly. Get the easiest ways to solve the greatest common divisor of 891, 268, 580, 516 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 891, 268, 580, 516 with Factoring?

Given Input numbers are 891, 268, 580, 516

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 580 :

The positive integer divisors of 580 that completely divides 580 are.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516


GCD of numbers is the greatest common divisor

So, the GCD (891, 268, 580, 516) = 1.

Find GCD of 891, 268, 580, 516 using Prime Factorization

Given numbers are 891, 268, 580, 516

The list of prime factors of all numbers are

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 268 are 2 x 2 x 67

Prime factors of 580 are 2 x 2 x 5 x 29

Prime factors of 516 are 2 x 2 x 3 x 43

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

Steps to Calculate GCD of 891, 268, 580, 516 using LCM Formula

Given numbers are 891, 268, 580, 516

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

Apply this formula for all numbers.

Step1:

LCM(891, 268) = 238788

GCD(891, 268) = ( 891 x 268 ) / 238788

= 891 / 268

= 891


Step2:

LCM(1, 580) = 580

GCD(1, 580) = ( 1 x 580 ) / 580

= 1 / 580

= 1


Step3:

LCM(1, 516) = 516

GCD(1, 516) = ( 1 x 516 ) / 516

= 1 / 516

= 1


So, Greatest Common Divisor of 891, 268, 580, 516 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 891, 268, 580, 516

Given numbers are 891, 268, 580, 516
The greatest common divisor of numbers 891, 268, 580, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 891, 268, 580, 516 is 1.

FAQs on GCD of 891, 268, 580, 516 Calculator

1. What is the GCD of 891, 268, 580, 516?

GCD of given numbers 891, 268, 580, 516 is 1


2. How to calculate the greatest common divisor of 891, 268, 580, 516?

We can find the highest common divisor of 891, 268, 580, 516 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 891, 268, 580, 516 i.e 1.


3. How can I use the GCD of 891, 268, 580, 516Calculator?

Out the numbers 891, 268, 580, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.