LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCD of 805, 208, 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 805, 208, 67 quickly. Get the easiest ways to solve the greatest common divisor of 805, 208, 67 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 805, 208, 67 with Factoring?

Given Input numbers are 805, 208, 67

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

Divisors of 805 :

The positive integer divisors of 805 that completely divides 805 are.

1, 5, 7, 23, 35, 115, 161, 805

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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 (805, 208, 67) = 1.

Find GCD of 805, 208, 67 using Prime Factorization

Given numbers are 805, 208, 67

The list of prime factors of all numbers are

Prime factors of 805 are 5 x 7 x 23

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

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 805, 208, 67 using LCM Formula

Given numbers are 805, 208, 67

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

Apply this formula for all numbers.

Step1:

LCM(805, 208) = 167440

GCD(805, 208) = ( 805 x 208 ) / 167440

= 805 / 208

= 805


Step2:

LCM(1, 67) = 67

GCD(1, 67) = ( 1 x 67 ) / 67

= 1 / 67

= 1


So, Greatest Common Divisor of 805, 208, 67 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 805, 208, 67

Given numbers are 805, 208, 67
The greatest common divisor of numbers 805, 208, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 805, 208, 67 is 1.

FAQs on GCD of 805, 208, 67 Calculator

1. What is the GCD of 805, 208, 67?

GCD of given numbers 805, 208, 67 is 1


2. How to calculate the greatest common divisor of 805, 208, 67?

We can find the highest common divisor of 805, 208, 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 805, 208, 67 i.e 1.


3. How can I use the GCD of 805, 208, 67Calculator?

Out the numbers 805, 208, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.