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GCD of 872, 353, 492, 340 Calculator

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


Online GCD Calculator is useful to find the GCD of 872, 353, 492, 340 quickly. Get the easiest ways to solve the greatest common divisor of 872, 353, 492, 340 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 872, 353, 492, 340 with Factoring?

Given Input numbers are 872, 353, 492, 340

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

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340


GCD of numbers is the greatest common divisor

So, the GCD (872, 353, 492, 340) = 1.

Find GCD of 872, 353, 492, 340 using Prime Factorization

Given numbers are 872, 353, 492, 340

The list of prime factors of all numbers are

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 353 are 353

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 340 are 2 x 2 x 5 x 17

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

Steps to Calculate GCD of 872, 353, 492, 340 using LCM Formula

Given numbers are 872, 353, 492, 340

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

Apply this formula for all numbers.

Step1:

LCM(872, 353) = 307816

GCD(872, 353) = ( 872 x 353 ) / 307816

= 872 / 353

= 872


Step2:

LCM(1, 492) = 492

GCD(1, 492) = ( 1 x 492 ) / 492

= 1 / 492

= 1


Step3:

LCM(1, 340) = 340

GCD(1, 340) = ( 1 x 340 ) / 340

= 1 / 340

= 1


So, Greatest Common Divisor of 872, 353, 492, 340 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 872, 353, 492, 340

Given numbers are 872, 353, 492, 340
The greatest common divisor of numbers 872, 353, 492, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 353, 492, 340 is 1.

FAQs on GCD of 872, 353, 492, 340 Calculator

1. What is the GCD of 872, 353, 492, 340?

GCD of given numbers 872, 353, 492, 340 is 1


2. How to calculate the greatest common divisor of 872, 353, 492, 340?

We can find the highest common divisor of 872, 353, 492, 340 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 872, 353, 492, 340 i.e 1.


3. How can I use the GCD of 872, 353, 492, 340Calculator?

Out the numbers 872, 353, 492, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.