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GCD of 808, 966, 617, 945 Calculator

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


Online GCD Calculator is useful to find the GCD of 808, 966, 617, 945 quickly. Get the easiest ways to solve the greatest common divisor of 808, 966, 617, 945 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 808, 966, 617, 945 with Factoring?

Given Input numbers are 808, 966, 617, 945

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

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945


GCD of numbers is the greatest common divisor

So, the GCD (808, 966, 617, 945) = 1.

Find GCD of 808, 966, 617, 945 using Prime Factorization

Given numbers are 808, 966, 617, 945

The list of prime factors of all numbers are

Prime factors of 808 are 2 x 2 x 2 x 101

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 617 are 617

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

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

Steps to Calculate GCD of 808, 966, 617, 945 using LCM Formula

Given numbers are 808, 966, 617, 945

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

Apply this formula for all numbers.

Step1:

LCM(808, 966) = 390264

GCD(808, 966) = ( 808 x 966 ) / 390264

= 808 / 966

= 808


Step2:

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

= 2 / 617

= 2


Step3:

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

= 1 / 945

= 1


So, Greatest Common Divisor of 808, 966, 617, 945 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 808, 966, 617, 945

Given numbers are 808, 966, 617, 945
The greatest common divisor of numbers 808, 966, 617, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 808, 966, 617, 945 is 1.

FAQs on GCD of 808, 966, 617, 945 Calculator

1. What is the GCD of 808, 966, 617, 945?

GCD of given numbers 808, 966, 617, 945 is 1


2. How to calculate the greatest common divisor of 808, 966, 617, 945?

We can find the highest common divisor of 808, 966, 617, 945 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 808, 966, 617, 945 i.e 1.


3. How can I use the GCD of 808, 966, 617, 945Calculator?

Out the numbers 808, 966, 617, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.