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GCD of 916, 781, 772, 189 Calculator

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


Online GCD Calculator is useful to find the GCD of 916, 781, 772, 189 quickly. Get the easiest ways to solve the greatest common divisor of 916, 781, 772, 189 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 916, 781, 772, 189 with Factoring?

Given Input numbers are 916, 781, 772, 189

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 781 :

The positive integer divisors of 781 that completely divides 781 are.

1, 11, 71, 781

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189


GCD of numbers is the greatest common divisor

So, the GCD (916, 781, 772, 189) = 1.

Find GCD of 916, 781, 772, 189 using Prime Factorization

Given numbers are 916, 781, 772, 189

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 781 are 11 x 71

Prime factors of 772 are 2 x 2 x 193

Prime factors of 189 are 3 x 3 x 3 x 7

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

Steps to Calculate GCD of 916, 781, 772, 189 using LCM Formula

Given numbers are 916, 781, 772, 189

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

Apply this formula for all numbers.

Step1:

LCM(916, 781) = 715396

GCD(916, 781) = ( 916 x 781 ) / 715396

= 916 / 781

= 916


Step2:

LCM(1, 772) = 772

GCD(1, 772) = ( 1 x 772 ) / 772

= 1 / 772

= 1


Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1


So, Greatest Common Divisor of 916, 781, 772, 189 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 916, 781, 772, 189

Given numbers are 916, 781, 772, 189
The greatest common divisor of numbers 916, 781, 772, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 781, 772, 189 is 1.

FAQs on GCD of 916, 781, 772, 189 Calculator

1. What is the GCD of 916, 781, 772, 189?

GCD of given numbers 916, 781, 772, 189 is 1


2. How to calculate the greatest common divisor of 916, 781, 772, 189?

We can find the highest common divisor of 916, 781, 772, 189 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 916, 781, 772, 189 i.e 1.


3. How can I use the GCD of 916, 781, 772, 189Calculator?

Out the numbers 916, 781, 772, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.