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GCD of 871, 688, 813, 338 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, 688, 813, 338 quickly. Get the easiest ways to solve the greatest common divisor of 871, 688, 813, 338 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 871, 688, 813, 338 with Factoring?

Given Input numbers are 871, 688, 813, 338

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 813 :

The positive integer divisors of 813 that completely divides 813 are.

1, 3, 271, 813

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338


GCD of numbers is the greatest common divisor

So, the GCD (871, 688, 813, 338) = 1.

Find GCD of 871, 688, 813, 338 using Prime Factorization

Given numbers are 871, 688, 813, 338

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 813 are 3 x 271

Prime factors of 338 are 2 x 13 x 13

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

Steps to Calculate GCD of 871, 688, 813, 338 using LCM Formula

Given numbers are 871, 688, 813, 338

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

Apply this formula for all numbers.

Step1:

LCM(871, 688) = 599248

GCD(871, 688) = ( 871 x 688 ) / 599248

= 871 / 688

= 871


Step2:

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

= 1 / 813

= 1


Step3:

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

= 1 / 338

= 1


So, Greatest Common Divisor of 871, 688, 813, 338 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 871, 688, 813, 338

Given numbers are 871, 688, 813, 338
The greatest common divisor of numbers 871, 688, 813, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 688, 813, 338 is 1.

FAQs on GCD of 871, 688, 813, 338 Calculator

1. What is the GCD of 871, 688, 813, 338?

GCD of given numbers 871, 688, 813, 338 is 1


2. How to calculate the greatest common divisor of 871, 688, 813, 338?

We can find the highest common divisor of 871, 688, 813, 338 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, 688, 813, 338 i.e 1.


3. How can I use the GCD of 871, 688, 813, 338Calculator?

Out the numbers 871, 688, 813, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.