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GCD of 420, 383, 200, 353 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, 383, 200, 353 quickly. Get the easiest ways to solve the greatest common divisor of 420, 383, 200, 353 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 383, 200, 353 with Factoring?

Given Input numbers are 420, 383, 200, 353

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 383 :

The positive integer divisors of 383 that completely divides 383 are.

1, 383

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 353 :

The positive integer divisors of 353 that completely divides 353 are.

1, 353


GCD of numbers is the greatest common divisor

So, the GCD (420, 383, 200, 353) = 1.

Find GCD of 420, 383, 200, 353 using Prime Factorization

Given numbers are 420, 383, 200, 353

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 383 are 383

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

Prime factors of 353 are 353

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

Steps to Calculate GCD of 420, 383, 200, 353 using LCM Formula

Given numbers are 420, 383, 200, 353

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

Apply this formula for all numbers.

Step1:

LCM(420, 383) = 160860

GCD(420, 383) = ( 420 x 383 ) / 160860

= 420 / 383

= 420


Step2:

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

= 1 / 200

= 1


Step3:

LCM(1, 353) = 353

GCD(1, 353) = ( 1 x 353 ) / 353

= 1 / 353

= 1


So, Greatest Common Divisor of 420, 383, 200, 353 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 383, 200, 353

Given numbers are 420, 383, 200, 353
The greatest common divisor of numbers 420, 383, 200, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 383, 200, 353 is 1.

FAQs on GCD of 420, 383, 200, 353 Calculator

1. What is the GCD of 420, 383, 200, 353?

GCD of given numbers 420, 383, 200, 353 is 1


2. How to calculate the greatest common divisor of 420, 383, 200, 353?

We can find the highest common divisor of 420, 383, 200, 353 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, 383, 200, 353 i.e 1.


3. How can I use the GCD of 420, 383, 200, 353Calculator?

Out the numbers 420, 383, 200, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.