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GCD of 825, 242, 290, 777 Calculator

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


Online GCD Calculator is useful to find the GCD of 825, 242, 290, 777 quickly. Get the easiest ways to solve the greatest common divisor of 825, 242, 290, 777 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 825, 242, 290, 777 with Factoring?

Given Input numbers are 825, 242, 290, 777

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777


GCD of numbers is the greatest common divisor

So, the GCD (825, 242, 290, 777) = 1.

Find GCD of 825, 242, 290, 777 using Prime Factorization

Given numbers are 825, 242, 290, 777

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 242 are 2 x 11 x 11

Prime factors of 290 are 2 x 5 x 29

Prime factors of 777 are 3 x 7 x 37

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

Steps to Calculate GCD of 825, 242, 290, 777 using LCM Formula

Given numbers are 825, 242, 290, 777

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

Apply this formula for all numbers.

Step1:

LCM(825, 242) = 18150

GCD(825, 242) = ( 825 x 242 ) / 18150

= 825 / 242

= 825


Step2:

LCM(11, 290) = 3190

GCD(11, 290) = ( 11 x 290 ) / 3190

= 11 / 290

= 11


Step3:

LCM(1, 777) = 777

GCD(1, 777) = ( 1 x 777 ) / 777

= 1 / 777

= 1


So, Greatest Common Divisor of 825, 242, 290, 777 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 825, 242, 290, 777

Given numbers are 825, 242, 290, 777
The greatest common divisor of numbers 825, 242, 290, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 242, 290, 777 is 1.

FAQs on GCD of 825, 242, 290, 777 Calculator

1. What is the GCD of 825, 242, 290, 777?

GCD of given numbers 825, 242, 290, 777 is 1


2. How to calculate the greatest common divisor of 825, 242, 290, 777?

We can find the highest common divisor of 825, 242, 290, 777 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 825, 242, 290, 777 i.e 1.


3. How can I use the GCD of 825, 242, 290, 777Calculator?

Out the numbers 825, 242, 290, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.