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GCD of 365, 871, 989, 342 Calculator

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


Online GCD Calculator is useful to find the GCD of 365, 871, 989, 342 quickly. Get the easiest ways to solve the greatest common divisor of 365, 871, 989, 342 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 365, 871, 989, 342 with Factoring?

Given Input numbers are 365, 871, 989, 342

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342


GCD of numbers is the greatest common divisor

So, the GCD (365, 871, 989, 342) = 1.

Find GCD of 365, 871, 989, 342 using Prime Factorization

Given numbers are 365, 871, 989, 342

The list of prime factors of all numbers are

Prime factors of 365 are 5 x 73

Prime factors of 871 are 13 x 67

Prime factors of 989 are 23 x 43

Prime factors of 342 are 2 x 3 x 3 x 19

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

Steps to Calculate GCD of 365, 871, 989, 342 using LCM Formula

Given numbers are 365, 871, 989, 342

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

Apply this formula for all numbers.

Step1:

LCM(365, 871) = 317915

GCD(365, 871) = ( 365 x 871 ) / 317915

= 365 / 871

= 365


Step2:

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

= 1 / 989

= 1


Step3:

LCM(1, 342) = 342

GCD(1, 342) = ( 1 x 342 ) / 342

= 1 / 342

= 1


So, Greatest Common Divisor of 365, 871, 989, 342 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 365, 871, 989, 342

Given numbers are 365, 871, 989, 342
The greatest common divisor of numbers 365, 871, 989, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 365, 871, 989, 342 is 1.

FAQs on GCD of 365, 871, 989, 342 Calculator

1. What is the GCD of 365, 871, 989, 342?

GCD of given numbers 365, 871, 989, 342 is 1


2. How to calculate the greatest common divisor of 365, 871, 989, 342?

We can find the highest common divisor of 365, 871, 989, 342 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 365, 871, 989, 342 i.e 1.


3. How can I use the GCD of 365, 871, 989, 342Calculator?

Out the numbers 365, 871, 989, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.