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GCD of 849, 267, 67 Calculator

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


Online GCD Calculator is useful to find the GCD of 849, 267, 67 quickly. Get the easiest ways to solve the greatest common divisor of 849, 267, 67 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 849, 267, 67 with Factoring?

Given Input numbers are 849, 267, 67

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

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 267 :

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

1, 3, 89, 267

Divisors of 67 :

The positive integer divisors of 67 that completely divides 67 are.

1, 67


GCD of numbers is the greatest common divisor

So, the GCD (849, 267, 67) = 1.

Find GCD of 849, 267, 67 using Prime Factorization

Given numbers are 849, 267, 67

The list of prime factors of all numbers are

Prime factors of 849 are 3 x 283

Prime factors of 267 are 3 x 89

Prime factors of 67 are 67

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

Steps to Calculate GCD of 849, 267, 67 using LCM Formula

Given numbers are 849, 267, 67

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

Apply this formula for all numbers.

Step1:

LCM(849, 267) = 75561

GCD(849, 267) = ( 849 x 267 ) / 75561

= 849 / 267

= 849


Step2:

LCM(3, 67) = 201

GCD(3, 67) = ( 3 x 67 ) / 201

= 3 / 67

= 3


So, Greatest Common Divisor of 849, 267, 67 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 849, 267, 67

Given numbers are 849, 267, 67
The greatest common divisor of numbers 849, 267, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 849, 267, 67 is 1.

FAQs on GCD of 849, 267, 67 Calculator

1. What is the GCD of 849, 267, 67?

GCD of given numbers 849, 267, 67 is 1


2. How to calculate the greatest common divisor of 849, 267, 67?

We can find the highest common divisor of 849, 267, 67 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 849, 267, 67 i.e 1.


3. How can I use the GCD of 849, 267, 67Calculator?

Out the numbers 849, 267, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.