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GCD of 856, 492, 174, 667 Calculator

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


Online GCD Calculator is useful to find the GCD of 856, 492, 174, 667 quickly. Get the easiest ways to solve the greatest common divisor of 856, 492, 174, 667 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 856, 492, 174, 667 with Factoring?

Given Input numbers are 856, 492, 174, 667

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

Divisors of 856 :

The positive integer divisors of 856 that completely divides 856 are.

1, 2, 4, 8, 107, 214, 428, 856

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667


GCD of numbers is the greatest common divisor

So, the GCD (856, 492, 174, 667) = 1.

Find GCD of 856, 492, 174, 667 using Prime Factorization

Given numbers are 856, 492, 174, 667

The list of prime factors of all numbers are

Prime factors of 856 are 2 x 2 x 2 x 107

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 174 are 2 x 3 x 29

Prime factors of 667 are 23 x 29

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

Steps to Calculate GCD of 856, 492, 174, 667 using LCM Formula

Given numbers are 856, 492, 174, 667

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

Apply this formula for all numbers.

Step1:

LCM(856, 492) = 105288

GCD(856, 492) = ( 856 x 492 ) / 105288

= 856 / 492

= 856


Step2:

LCM(4, 174) = 348

GCD(4, 174) = ( 4 x 174 ) / 348

= 4 / 174

= 4


Step3:

LCM(2, 667) = 1334

GCD(2, 667) = ( 2 x 667 ) / 1334

= 2 / 667

= 2


So, Greatest Common Divisor of 856, 492, 174, 667 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 856, 492, 174, 667

Given numbers are 856, 492, 174, 667
The greatest common divisor of numbers 856, 492, 174, 667 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 492, 174, 667 is 1.

FAQs on GCD of 856, 492, 174, 667 Calculator

1. What is the GCD of 856, 492, 174, 667?

GCD of given numbers 856, 492, 174, 667 is 1


2. How to calculate the greatest common divisor of 856, 492, 174, 667?

We can find the highest common divisor of 856, 492, 174, 667 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 856, 492, 174, 667 i.e 1.


3. How can I use the GCD of 856, 492, 174, 667Calculator?

Out the numbers 856, 492, 174, 667 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.