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GCD of 510, 533, 442, 420 Calculator

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


Online GCD Calculator is useful to find the GCD of 510, 533, 442, 420 quickly. Get the easiest ways to solve the greatest common divisor of 510, 533, 442, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 510, 533, 442, 420 with Factoring?

Given Input numbers are 510, 533, 442, 420

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

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 533 :

The positive integer divisors of 533 that completely divides 533 are.

1, 13, 41, 533

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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


GCD of numbers is the greatest common divisor

So, the GCD (510, 533, 442, 420) = 1.

Find GCD of 510, 533, 442, 420 using Prime Factorization

Given numbers are 510, 533, 442, 420

The list of prime factors of all numbers are

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 533 are 13 x 41

Prime factors of 442 are 2 x 13 x 17

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

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

Steps to Calculate GCD of 510, 533, 442, 420 using LCM Formula

Given numbers are 510, 533, 442, 420

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

Apply this formula for all numbers.

Step1:

LCM(510, 533) = 271830

GCD(510, 533) = ( 510 x 533 ) / 271830

= 510 / 533

= 510


Step2:

LCM(1, 442) = 442

GCD(1, 442) = ( 1 x 442 ) / 442

= 1 / 442

= 1


Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1


So, Greatest Common Divisor of 510, 533, 442, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 510, 533, 442, 420

Given numbers are 510, 533, 442, 420
The greatest common divisor of numbers 510, 533, 442, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 533, 442, 420 is 1.

FAQs on GCD of 510, 533, 442, 420 Calculator

1. What is the GCD of 510, 533, 442, 420?

GCD of given numbers 510, 533, 442, 420 is 1


2. How to calculate the greatest common divisor of 510, 533, 442, 420?

We can find the highest common divisor of 510, 533, 442, 420 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 510, 533, 442, 420 i.e 1.


3. How can I use the GCD of 510, 533, 442, 420Calculator?

Out the numbers 510, 533, 442, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.