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GCD of 636, 505, 706, 772 Calculator

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


Online GCD Calculator is useful to find the GCD of 636, 505, 706, 772 quickly. Get the easiest ways to solve the greatest common divisor of 636, 505, 706, 772 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 636, 505, 706, 772 with Factoring?

Given Input numbers are 636, 505, 706, 772

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

Divisors of 636 :

The positive integer divisors of 636 that completely divides 636 are.

1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

Divisors of 505 :

The positive integer divisors of 505 that completely divides 505 are.

1, 5, 101, 505

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

Divisors of 772 :

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

1, 2, 4, 193, 386, 772


GCD of numbers is the greatest common divisor

So, the GCD (636, 505, 706, 772) = 1.

Find GCD of 636, 505, 706, 772 using Prime Factorization

Given numbers are 636, 505, 706, 772

The list of prime factors of all numbers are

Prime factors of 636 are 2 x 2 x 3 x 53

Prime factors of 505 are 5 x 101

Prime factors of 706 are 2 x 353

Prime factors of 772 are 2 x 2 x 193

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

Steps to Calculate GCD of 636, 505, 706, 772 using LCM Formula

Given numbers are 636, 505, 706, 772

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

Apply this formula for all numbers.

Step1:

LCM(636, 505) = 321180

GCD(636, 505) = ( 636 x 505 ) / 321180

= 636 / 505

= 636


Step2:

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

= 1 / 706

= 1


Step3:

LCM(1, 772) = 772

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

= 1 / 772

= 1


So, Greatest Common Divisor of 636, 505, 706, 772 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 636, 505, 706, 772

Given numbers are 636, 505, 706, 772
The greatest common divisor of numbers 636, 505, 706, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 636, 505, 706, 772 is 1.

FAQs on GCD of 636, 505, 706, 772 Calculator

1. What is the GCD of 636, 505, 706, 772?

GCD of given numbers 636, 505, 706, 772 is 1


2. How to calculate the greatest common divisor of 636, 505, 706, 772?

We can find the highest common divisor of 636, 505, 706, 772 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 636, 505, 706, 772 i.e 1.


3. How can I use the GCD of 636, 505, 706, 772Calculator?

Out the numbers 636, 505, 706, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.