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GCD of 829, 997, 614, 159 Calculator

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


Online GCD Calculator is useful to find the GCD of 829, 997, 614, 159 quickly. Get the easiest ways to solve the greatest common divisor of 829, 997, 614, 159 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 829, 997, 614, 159 with Factoring?

Given Input numbers are 829, 997, 614, 159

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

Divisors of 829 :

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

1, 829

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159


GCD of numbers is the greatest common divisor

So, the GCD (829, 997, 614, 159) = 1.

Find GCD of 829, 997, 614, 159 using Prime Factorization

Given numbers are 829, 997, 614, 159

The list of prime factors of all numbers are

Prime factors of 829 are 829

Prime factors of 997 are 997

Prime factors of 614 are 2 x 307

Prime factors of 159 are 3 x 53

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

Steps to Calculate GCD of 829, 997, 614, 159 using LCM Formula

Given numbers are 829, 997, 614, 159

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

Apply this formula for all numbers.

Step1:

LCM(829, 997) = 826513

GCD(829, 997) = ( 829 x 997 ) / 826513

= 829 / 997

= 829


Step2:

LCM(1, 614) = 614

GCD(1, 614) = ( 1 x 614 ) / 614

= 1 / 614

= 1


Step3:

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

= 1 / 159

= 1


So, Greatest Common Divisor of 829, 997, 614, 159 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 829, 997, 614, 159

Given numbers are 829, 997, 614, 159
The greatest common divisor of numbers 829, 997, 614, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 997, 614, 159 is 1.

FAQs on GCD of 829, 997, 614, 159 Calculator

1. What is the GCD of 829, 997, 614, 159?

GCD of given numbers 829, 997, 614, 159 is 1


2. How to calculate the greatest common divisor of 829, 997, 614, 159?

We can find the highest common divisor of 829, 997, 614, 159 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 829, 997, 614, 159 i.e 1.


3. How can I use the GCD of 829, 997, 614, 159Calculator?

Out the numbers 829, 997, 614, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.