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GCD of 420, 329, 371, 206 Calculator

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


Online GCD Calculator is useful to find the GCD of 420, 329, 371, 206 quickly. Get the easiest ways to solve the greatest common divisor of 420, 329, 371, 206 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 329, 371, 206 with Factoring?

Given Input numbers are 420, 329, 371, 206

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206


GCD of numbers is the greatest common divisor

So, the GCD (420, 329, 371, 206) = 1.

Find GCD of 420, 329, 371, 206 using Prime Factorization

Given numbers are 420, 329, 371, 206

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 329 are 7 x 47

Prime factors of 371 are 7 x 53

Prime factors of 206 are 2 x 103

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

Steps to Calculate GCD of 420, 329, 371, 206 using LCM Formula

Given numbers are 420, 329, 371, 206

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

Apply this formula for all numbers.

Step1:

LCM(420, 329) = 19740

GCD(420, 329) = ( 420 x 329 ) / 19740

= 420 / 329

= 420


Step2:

LCM(7, 371) = 371

GCD(7, 371) = ( 7 x 371 ) / 371

= 7 / 371

= 7


Step3:

LCM(7, 206) = 1442

GCD(7, 206) = ( 7 x 206 ) / 1442

= 7 / 206

= 7


So, Greatest Common Divisor of 420, 329, 371, 206 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 329, 371, 206

Given numbers are 420, 329, 371, 206
The greatest common divisor of numbers 420, 329, 371, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 329, 371, 206 is 1.

FAQs on GCD of 420, 329, 371, 206 Calculator

1. What is the GCD of 420, 329, 371, 206?

GCD of given numbers 420, 329, 371, 206 is 1


2. How to calculate the greatest common divisor of 420, 329, 371, 206?

We can find the highest common divisor of 420, 329, 371, 206 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 420, 329, 371, 206 i.e 1.


3. How can I use the GCD of 420, 329, 371, 206Calculator?

Out the numbers 420, 329, 371, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.