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GCD of 871, 693, 654, 165 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, 693, 654, 165 quickly. Get the easiest ways to solve the greatest common divisor of 871, 693, 654, 165 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 871, 693, 654, 165 with Factoring?

Given Input numbers are 871, 693, 654, 165

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 654 :

The positive integer divisors of 654 that completely divides 654 are.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165


GCD of numbers is the greatest common divisor

So, the GCD (871, 693, 654, 165) = 1.

Find GCD of 871, 693, 654, 165 using Prime Factorization

Given numbers are 871, 693, 654, 165

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 654 are 2 x 3 x 109

Prime factors of 165 are 3 x 5 x 11

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

Steps to Calculate GCD of 871, 693, 654, 165 using LCM Formula

Given numbers are 871, 693, 654, 165

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

Apply this formula for all numbers.

Step1:

LCM(871, 693) = 603603

GCD(871, 693) = ( 871 x 693 ) / 603603

= 871 / 693

= 871


Step2:

LCM(1, 654) = 654

GCD(1, 654) = ( 1 x 654 ) / 654

= 1 / 654

= 1


Step3:

LCM(1, 165) = 165

GCD(1, 165) = ( 1 x 165 ) / 165

= 1 / 165

= 1


So, Greatest Common Divisor of 871, 693, 654, 165 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 871, 693, 654, 165

Given numbers are 871, 693, 654, 165
The greatest common divisor of numbers 871, 693, 654, 165 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 693, 654, 165 is 1.

FAQs on GCD of 871, 693, 654, 165 Calculator

1. What is the GCD of 871, 693, 654, 165?

GCD of given numbers 871, 693, 654, 165 is 1


2. How to calculate the greatest common divisor of 871, 693, 654, 165?

We can find the highest common divisor of 871, 693, 654, 165 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, 693, 654, 165 i.e 1.


3. How can I use the GCD of 871, 693, 654, 165Calculator?

Out the numbers 871, 693, 654, 165 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.