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GCD of 816, 629, 148, 825 Calculator

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


Online GCD Calculator is useful to find the GCD of 816, 629, 148, 825 quickly. Get the easiest ways to solve the greatest common divisor of 816, 629, 148, 825 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 816, 629, 148, 825 with Factoring?

Given Input numbers are 816, 629, 148, 825

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

Divisors of 816 :

The positive integer divisors of 816 that completely divides 816 are.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 629 :

The positive integer divisors of 629 that completely divides 629 are.

1, 17, 37, 629

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

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


GCD of numbers is the greatest common divisor

So, the GCD (816, 629, 148, 825) = 1.

Find GCD of 816, 629, 148, 825 using Prime Factorization

Given numbers are 816, 629, 148, 825

The list of prime factors of all numbers are

Prime factors of 816 are 2 x 2 x 2 x 2 x 3 x 17

Prime factors of 629 are 17 x 37

Prime factors of 148 are 2 x 2 x 37

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

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

Steps to Calculate GCD of 816, 629, 148, 825 using LCM Formula

Given numbers are 816, 629, 148, 825

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

Apply this formula for all numbers.

Step1:

LCM(816, 629) = 30192

GCD(816, 629) = ( 816 x 629 ) / 30192

= 816 / 629

= 816


Step2:

LCM(17, 148) = 2516

GCD(17, 148) = ( 17 x 148 ) / 2516

= 17 / 148

= 17


Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1


So, Greatest Common Divisor of 816, 629, 148, 825 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 816, 629, 148, 825

Given numbers are 816, 629, 148, 825
The greatest common divisor of numbers 816, 629, 148, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 816, 629, 148, 825 is 1.

FAQs on GCD of 816, 629, 148, 825 Calculator

1. What is the GCD of 816, 629, 148, 825?

GCD of given numbers 816, 629, 148, 825 is 1


2. How to calculate the greatest common divisor of 816, 629, 148, 825?

We can find the highest common divisor of 816, 629, 148, 825 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 816, 629, 148, 825 i.e 1.


3. How can I use the GCD of 816, 629, 148, 825Calculator?

Out the numbers 816, 629, 148, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.