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GCD of 871, 137, 398, 805 Calculator

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


Online GCD Calculator is useful to find the GCD of 871, 137, 398, 805 quickly. Get the easiest ways to solve the greatest common divisor of 871, 137, 398, 805 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 871, 137, 398, 805 with Factoring?

Given Input numbers are 871, 137, 398, 805

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

Divisors of 871 :

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

1, 13, 67, 871

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805


GCD of numbers is the greatest common divisor

So, the GCD (871, 137, 398, 805) = 1.

Find GCD of 871, 137, 398, 805 using Prime Factorization

Given numbers are 871, 137, 398, 805

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 137 are 137

Prime factors of 398 are 2 x 199

Prime factors of 805 are 5 x 7 x 23

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

Steps to Calculate GCD of 871, 137, 398, 805 using LCM Formula

Given numbers are 871, 137, 398, 805

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

Apply this formula for all numbers.

Step1:

LCM(871, 137) = 119327

GCD(871, 137) = ( 871 x 137 ) / 119327

= 871 / 137

= 871


Step2:

LCM(1, 398) = 398

GCD(1, 398) = ( 1 x 398 ) / 398

= 1 / 398

= 1


Step3:

LCM(1, 805) = 805

GCD(1, 805) = ( 1 x 805 ) / 805

= 1 / 805

= 1


So, Greatest Common Divisor of 871, 137, 398, 805 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 871, 137, 398, 805

Given numbers are 871, 137, 398, 805
The greatest common divisor of numbers 871, 137, 398, 805 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 137, 398, 805 is 1.

FAQs on GCD of 871, 137, 398, 805 Calculator

1. What is the GCD of 871, 137, 398, 805?

GCD of given numbers 871, 137, 398, 805 is 1


2. How to calculate the greatest common divisor of 871, 137, 398, 805?

We can find the highest common divisor of 871, 137, 398, 805 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 871, 137, 398, 805 i.e 1.


3. How can I use the GCD of 871, 137, 398, 805Calculator?

Out the numbers 871, 137, 398, 805 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.