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GCD of 871, 823, 921, 697 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, 823, 921, 697 quickly. Get the easiest ways to solve the greatest common divisor of 871, 823, 921, 697 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 871, 823, 921, 697 with Factoring?

Given Input numbers are 871, 823, 921, 697

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 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697


GCD of numbers is the greatest common divisor

So, the GCD (871, 823, 921, 697) = 1.

Find GCD of 871, 823, 921, 697 using Prime Factorization

Given numbers are 871, 823, 921, 697

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 823 are 823

Prime factors of 921 are 3 x 307

Prime factors of 697 are 17 x 41

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

Steps to Calculate GCD of 871, 823, 921, 697 using LCM Formula

Given numbers are 871, 823, 921, 697

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

Apply this formula for all numbers.

Step1:

LCM(871, 823) = 716833

GCD(871, 823) = ( 871 x 823 ) / 716833

= 871 / 823

= 871


Step2:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1


Step3:

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

= 1 / 697

= 1


So, Greatest Common Divisor of 871, 823, 921, 697 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 871, 823, 921, 697

Given numbers are 871, 823, 921, 697
The greatest common divisor of numbers 871, 823, 921, 697 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 823, 921, 697 is 1.

FAQs on GCD of 871, 823, 921, 697 Calculator

1. What is the GCD of 871, 823, 921, 697?

GCD of given numbers 871, 823, 921, 697 is 1


2. How to calculate the greatest common divisor of 871, 823, 921, 697?

We can find the highest common divisor of 871, 823, 921, 697 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, 823, 921, 697 i.e 1.


3. How can I use the GCD of 871, 823, 921, 697Calculator?

Out the numbers 871, 823, 921, 697 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.