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GCD of 152, 498, 317, 873 Calculator

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


Online GCD Calculator is useful to find the GCD of 152, 498, 317, 873 quickly. Get the easiest ways to solve the greatest common divisor of 152, 498, 317, 873 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 152, 498, 317, 873 with Factoring?

Given Input numbers are 152, 498, 317, 873

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

Divisors of 152 :

The positive integer divisors of 152 that completely divides 152 are.

1, 2, 4, 8, 19, 38, 76, 152

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 317 :

The positive integer divisors of 317 that completely divides 317 are.

1, 317

Divisors of 873 :

The positive integer divisors of 873 that completely divides 873 are.

1, 3, 9, 97, 291, 873


GCD of numbers is the greatest common divisor

So, the GCD (152, 498, 317, 873) = 1.

Find GCD of 152, 498, 317, 873 using Prime Factorization

Given numbers are 152, 498, 317, 873

The list of prime factors of all numbers are

Prime factors of 152 are 2 x 2 x 2 x 19

Prime factors of 498 are 2 x 3 x 83

Prime factors of 317 are 317

Prime factors of 873 are 3 x 3 x 97

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

Steps to Calculate GCD of 152, 498, 317, 873 using LCM Formula

Given numbers are 152, 498, 317, 873

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

Apply this formula for all numbers.

Step1:

LCM(152, 498) = 37848

GCD(152, 498) = ( 152 x 498 ) / 37848

= 152 / 498

= 152


Step2:

LCM(2, 317) = 634

GCD(2, 317) = ( 2 x 317 ) / 634

= 2 / 317

= 2


Step3:

LCM(1, 873) = 873

GCD(1, 873) = ( 1 x 873 ) / 873

= 1 / 873

= 1


So, Greatest Common Divisor of 152, 498, 317, 873 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 152, 498, 317, 873

Given numbers are 152, 498, 317, 873
The greatest common divisor of numbers 152, 498, 317, 873 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 152, 498, 317, 873 is 1.

FAQs on GCD of 152, 498, 317, 873 Calculator

1. What is the GCD of 152, 498, 317, 873?

GCD of given numbers 152, 498, 317, 873 is 1


2. How to calculate the greatest common divisor of 152, 498, 317, 873?

We can find the highest common divisor of 152, 498, 317, 873 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 152, 498, 317, 873 i.e 1.


3. How can I use the GCD of 152, 498, 317, 873Calculator?

Out the numbers 152, 498, 317, 873 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.