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GCD of 608, 428, 829, 782 Calculator

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


Online GCD Calculator is useful to find the GCD of 608, 428, 829, 782 quickly. Get the easiest ways to solve the greatest common divisor of 608, 428, 829, 782 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 608, 428, 829, 782 with Factoring?

Given Input numbers are 608, 428, 829, 782

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

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782


GCD of numbers is the greatest common divisor

So, the GCD (608, 428, 829, 782) = 1.

Find GCD of 608, 428, 829, 782 using Prime Factorization

Given numbers are 608, 428, 829, 782

The list of prime factors of all numbers are

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 428 are 2 x 2 x 107

Prime factors of 829 are 829

Prime factors of 782 are 2 x 17 x 23

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

Steps to Calculate GCD of 608, 428, 829, 782 using LCM Formula

Given numbers are 608, 428, 829, 782

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

Apply this formula for all numbers.

Step1:

LCM(608, 428) = 65056

GCD(608, 428) = ( 608 x 428 ) / 65056

= 608 / 428

= 608


Step2:

LCM(4, 829) = 3316

GCD(4, 829) = ( 4 x 829 ) / 3316

= 4 / 829

= 4


Step3:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1


So, Greatest Common Divisor of 608, 428, 829, 782 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 608, 428, 829, 782

Given numbers are 608, 428, 829, 782
The greatest common divisor of numbers 608, 428, 829, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 608, 428, 829, 782 is 1.

FAQs on GCD of 608, 428, 829, 782 Calculator

1. What is the GCD of 608, 428, 829, 782?

GCD of given numbers 608, 428, 829, 782 is 1


2. How to calculate the greatest common divisor of 608, 428, 829, 782?

We can find the highest common divisor of 608, 428, 829, 782 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 608, 428, 829, 782 i.e 1.


3. How can I use the GCD of 608, 428, 829, 782Calculator?

Out the numbers 608, 428, 829, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.