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GCD of 420, 436, 853, 349 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, 436, 853, 349 quickly. Get the easiest ways to solve the greatest common divisor of 420, 436, 853, 349 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 436, 853, 349 with Factoring?

Given Input numbers are 420, 436, 853, 349

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 436 :

The positive integer divisors of 436 that completely divides 436 are.

1, 2, 4, 109, 218, 436

Divisors of 853 :

The positive integer divisors of 853 that completely divides 853 are.

1, 853

Divisors of 349 :

The positive integer divisors of 349 that completely divides 349 are.

1, 349


GCD of numbers is the greatest common divisor

So, the GCD (420, 436, 853, 349) = 1.

Find GCD of 420, 436, 853, 349 using Prime Factorization

Given numbers are 420, 436, 853, 349

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 436 are 2 x 2 x 109

Prime factors of 853 are 853

Prime factors of 349 are 349

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

Steps to Calculate GCD of 420, 436, 853, 349 using LCM Formula

Given numbers are 420, 436, 853, 349

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

Apply this formula for all numbers.

Step1:

LCM(420, 436) = 45780

GCD(420, 436) = ( 420 x 436 ) / 45780

= 420 / 436

= 420


Step2:

LCM(4, 853) = 3412

GCD(4, 853) = ( 4 x 853 ) / 3412

= 4 / 853

= 4


Step3:

LCM(1, 349) = 349

GCD(1, 349) = ( 1 x 349 ) / 349

= 1 / 349

= 1


So, Greatest Common Divisor of 420, 436, 853, 349 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 436, 853, 349

Given numbers are 420, 436, 853, 349
The greatest common divisor of numbers 420, 436, 853, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 436, 853, 349 is 1.

FAQs on GCD of 420, 436, 853, 349 Calculator

1. What is the GCD of 420, 436, 853, 349?

GCD of given numbers 420, 436, 853, 349 is 1


2. How to calculate the greatest common divisor of 420, 436, 853, 349?

We can find the highest common divisor of 420, 436, 853, 349 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, 436, 853, 349 i.e 1.


3. How can I use the GCD of 420, 436, 853, 349Calculator?

Out the numbers 420, 436, 853, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.