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 208, 641, 564, 164 Calculator

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


Online GCD Calculator is useful to find the GCD of 208, 641, 564, 164 quickly. Get the easiest ways to solve the greatest common divisor of 208, 641, 564, 164 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 208, 641, 564, 164 with Factoring?

Given Input numbers are 208, 641, 564, 164

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

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 641 :

The positive integer divisors of 641 that completely divides 641 are.

1, 641

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164


GCD of numbers is the greatest common divisor

So, the GCD (208, 641, 564, 164) = 1.

Find GCD of 208, 641, 564, 164 using Prime Factorization

Given numbers are 208, 641, 564, 164

The list of prime factors of all numbers are

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

Prime factors of 641 are 641

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 164 are 2 x 2 x 41

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

Steps to Calculate GCD of 208, 641, 564, 164 using LCM Formula

Given numbers are 208, 641, 564, 164

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

Apply this formula for all numbers.

Step1:

LCM(208, 641) = 133328

GCD(208, 641) = ( 208 x 641 ) / 133328

= 208 / 641

= 208


Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1


Step3:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1


So, Greatest Common Divisor of 208, 641, 564, 164 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 208, 641, 564, 164

Given numbers are 208, 641, 564, 164
The greatest common divisor of numbers 208, 641, 564, 164 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 641, 564, 164 is 1.

FAQs on GCD of 208, 641, 564, 164 Calculator

1. What is the GCD of 208, 641, 564, 164?

GCD of given numbers 208, 641, 564, 164 is 1


2. How to calculate the greatest common divisor of 208, 641, 564, 164?

We can find the highest common divisor of 208, 641, 564, 164 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 208, 641, 564, 164 i.e 1.


3. How can I use the GCD of 208, 641, 564, 164Calculator?

Out the numbers 208, 641, 564, 164 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.