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GCD of 852, 267, 570, 168 Calculator

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


Online GCD Calculator is useful to find the GCD of 852, 267, 570, 168 quickly. Get the easiest ways to solve the greatest common divisor of 852, 267, 570, 168 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 852, 267, 570, 168 with Factoring?

Given Input numbers are 852, 267, 570, 168

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

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168


GCD of numbers is the greatest common divisor

So, the GCD (852, 267, 570, 168) = 3.

Find GCD of 852, 267, 570, 168 using Prime Factorization

Given numbers are 852, 267, 570, 168

The list of prime factors of all numbers are

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 267 are 3 x 89

Prime factors of 570 are 2 x 3 x 5 x 19

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

The highest common occurrence is 31

Therefore, GCD of 852, 267, 570, 168 is 3.

Steps to Calculate GCD of 852, 267, 570, 168 using LCM Formula

Given numbers are 852, 267, 570, 168

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

Apply this formula for all numbers.

Step1:

LCM(852, 267) = 75828

GCD(852, 267) = ( 852 x 267 ) / 75828

= 852 / 267

= 852


Step2:

LCM(3, 570) = 570

GCD(3, 570) = ( 3 x 570 ) / 570

= 3 / 570

= 3


Step3:

LCM(3, 168) = 168

GCD(3, 168) = ( 3 x 168 ) / 168

= 3 / 168

= 3


So, Greatest Common Divisor of 852, 267, 570, 168 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 852, 267, 570, 168

Given numbers are 852, 267, 570, 168
The greatest common divisor of numbers 852, 267, 570, 168 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 267, 570, 168 is 3.

FAQs on GCD of 852, 267, 570, 168 Calculator

1. What is the GCD of 852, 267, 570, 168?

GCD of given numbers 852, 267, 570, 168 is 3


2. How to calculate the greatest common divisor of 852, 267, 570, 168?

We can find the highest common divisor of 852, 267, 570, 168 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 852, 267, 570, 168 i.e 3.


3. How can I use the GCD of 852, 267, 570, 168Calculator?

Out the numbers 852, 267, 570, 168 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.