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GCD of 420, 400, 362, 590 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, 400, 362, 590 quickly. Get the easiest ways to solve the greatest common divisor of 420, 400, 362, 590 i.e 2 in different methods as follows.

GCD of

How to Find GCD of Numbers 420, 400, 362, 590 with Factoring?

Given Input numbers are 420, 400, 362, 590

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 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590


GCD of numbers is the greatest common divisor

So, the GCD (420, 400, 362, 590) = 2.

Find GCD of 420, 400, 362, 590 using Prime Factorization

Given numbers are 420, 400, 362, 590

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 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 362 are 2 x 181

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 21

Therefore, GCD of 420, 400, 362, 590 is 2.

Steps to Calculate GCD of 420, 400, 362, 590 using LCM Formula

Given numbers are 420, 400, 362, 590

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

Apply this formula for all numbers.

Step1:

LCM(420, 400) = 8400

GCD(420, 400) = ( 420 x 400 ) / 8400

= 420 / 400

= 420


Step2:

LCM(20, 362) = 3620

GCD(20, 362) = ( 20 x 362 ) / 3620

= 20 / 362

= 20


Step3:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2


So, Greatest Common Divisor of 420, 400, 362, 590 is 2

GCD of Numbers Calculation Examples

Greatest Common Divisor of 420, 400, 362, 590

Given numbers are 420, 400, 362, 590
The greatest common divisor of numbers 420, 400, 362, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 400, 362, 590 is 2.

FAQs on GCD of 420, 400, 362, 590 Calculator

1. What is the GCD of 420, 400, 362, 590?

GCD of given numbers 420, 400, 362, 590 is 2


2. How to calculate the greatest common divisor of 420, 400, 362, 590?

We can find the highest common divisor of 420, 400, 362, 590 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, 400, 362, 590 i.e 2.


3. How can I use the GCD of 420, 400, 362, 590Calculator?

Out the numbers 420, 400, 362, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.