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GCD of 364, 846, 617, 208 Calculator

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


Online GCD Calculator is useful to find the GCD of 364, 846, 617, 208 quickly. Get the easiest ways to solve the greatest common divisor of 364, 846, 617, 208 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 364, 846, 617, 208 with Factoring?

Given Input numbers are 364, 846, 617, 208

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 617 :

The positive integer divisors of 617 that completely divides 617 are.

1, 617

Divisors of 208 :

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

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


GCD of numbers is the greatest common divisor

So, the GCD (364, 846, 617, 208) = 1.

Find GCD of 364, 846, 617, 208 using Prime Factorization

Given numbers are 364, 846, 617, 208

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 846 are 2 x 3 x 3 x 47

Prime factors of 617 are 617

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

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

Steps to Calculate GCD of 364, 846, 617, 208 using LCM Formula

Given numbers are 364, 846, 617, 208

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

Apply this formula for all numbers.

Step1:

LCM(364, 846) = 153972

GCD(364, 846) = ( 364 x 846 ) / 153972

= 364 / 846

= 364


Step2:

LCM(2, 617) = 1234

GCD(2, 617) = ( 2 x 617 ) / 1234

= 2 / 617

= 2


Step3:

LCM(1, 208) = 208

GCD(1, 208) = ( 1 x 208 ) / 208

= 1 / 208

= 1


So, Greatest Common Divisor of 364, 846, 617, 208 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 364, 846, 617, 208

Given numbers are 364, 846, 617, 208
The greatest common divisor of numbers 364, 846, 617, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 846, 617, 208 is 1.

FAQs on GCD of 364, 846, 617, 208 Calculator

1. What is the GCD of 364, 846, 617, 208?

GCD of given numbers 364, 846, 617, 208 is 1


2. How to calculate the greatest common divisor of 364, 846, 617, 208?

We can find the highest common divisor of 364, 846, 617, 208 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 364, 846, 617, 208 i.e 1.


3. How can I use the GCD of 364, 846, 617, 208Calculator?

Out the numbers 364, 846, 617, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.