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GCD of 420, 392, 185, 184 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, 392, 185, 184 quickly. Get the easiest ways to solve the greatest common divisor of 420, 392, 185, 184 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 392, 185, 184 with Factoring?

Given Input numbers are 420, 392, 185, 184

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 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 185 :

The positive integer divisors of 185 that completely divides 185 are.

1, 5, 37, 185

Divisors of 184 :

The positive integer divisors of 184 that completely divides 184 are.

1, 2, 4, 8, 23, 46, 92, 184


GCD of numbers is the greatest common divisor

So, the GCD (420, 392, 185, 184) = 1.

Find GCD of 420, 392, 185, 184 using Prime Factorization

Given numbers are 420, 392, 185, 184

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 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 185 are 5 x 37

Prime factors of 184 are 2 x 2 x 2 x 23

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

Steps to Calculate GCD of 420, 392, 185, 184 using LCM Formula

Given numbers are 420, 392, 185, 184

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

Apply this formula for all numbers.

Step1:

LCM(420, 392) = 5880

GCD(420, 392) = ( 420 x 392 ) / 5880

= 420 / 392

= 420


Step2:

LCM(28, 185) = 5180

GCD(28, 185) = ( 28 x 185 ) / 5180

= 28 / 185

= 28


Step3:

LCM(1, 184) = 184

GCD(1, 184) = ( 1 x 184 ) / 184

= 1 / 184

= 1


So, Greatest Common Divisor of 420, 392, 185, 184 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 392, 185, 184

Given numbers are 420, 392, 185, 184
The greatest common divisor of numbers 420, 392, 185, 184 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 392, 185, 184 is 1.

FAQs on GCD of 420, 392, 185, 184 Calculator

1. What is the GCD of 420, 392, 185, 184?

GCD of given numbers 420, 392, 185, 184 is 1


2. How to calculate the greatest common divisor of 420, 392, 185, 184?

We can find the highest common divisor of 420, 392, 185, 184 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, 392, 185, 184 i.e 1.


3. How can I use the GCD of 420, 392, 185, 184Calculator?

Out the numbers 420, 392, 185, 184 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.