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GCD of 861, 165, 674 Calculator

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


Online GCD Calculator is useful to find the GCD of 861, 165, 674 quickly. Get the easiest ways to solve the greatest common divisor of 861, 165, 674 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 861, 165, 674 with Factoring?

Given Input numbers are 861, 165, 674

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

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 165 :

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

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

Divisors of 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674


GCD of numbers is the greatest common divisor

So, the GCD (861, 165, 674) = 1.

Find GCD of 861, 165, 674 using Prime Factorization

Given numbers are 861, 165, 674

The list of prime factors of all numbers are

Prime factors of 861 are 3 x 7 x 41

Prime factors of 165 are 3 x 5 x 11

Prime factors of 674 are 2 x 337

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

Steps to Calculate GCD of 861, 165, 674 using LCM Formula

Given numbers are 861, 165, 674

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

Apply this formula for all numbers.

Step1:

LCM(861, 165) = 47355

GCD(861, 165) = ( 861 x 165 ) / 47355

= 861 / 165

= 861


Step2:

LCM(3, 674) = 2022

GCD(3, 674) = ( 3 x 674 ) / 2022

= 3 / 674

= 3


So, Greatest Common Divisor of 861, 165, 674 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 861, 165, 674

Given numbers are 861, 165, 674
The greatest common divisor of numbers 861, 165, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 861, 165, 674 is 1.

FAQs on GCD of 861, 165, 674 Calculator

1. What is the GCD of 861, 165, 674?

GCD of given numbers 861, 165, 674 is 1


2. How to calculate the greatest common divisor of 861, 165, 674?

We can find the highest common divisor of 861, 165, 674 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 861, 165, 674 i.e 1.


3. How can I use the GCD of 861, 165, 674Calculator?

Out the numbers 861, 165, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.