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GCD of 964, 204, 543, 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 964, 204, 543, 420 quickly. Get the easiest ways to solve the greatest common divisor of 964, 204, 543, 420 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 964, 204, 543, 420 with Factoring?

Given Input numbers are 964, 204, 543, 420

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

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 543 :

The positive integer divisors of 543 that completely divides 543 are.

1, 3, 181, 543

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 (964, 204, 543, 420) = 1.

Find GCD of 964, 204, 543, 420 using Prime Factorization

Given numbers are 964, 204, 543, 420

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 543 are 3 x 181

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 964, 204, 543, 420 using LCM Formula

Given numbers are 964, 204, 543, 420

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

Apply this formula for all numbers.

Step1:

LCM(964, 204) = 49164

GCD(964, 204) = ( 964 x 204 ) / 49164

= 964 / 204

= 964


Step2:

LCM(4, 543) = 2172

GCD(4, 543) = ( 4 x 543 ) / 2172

= 4 / 543

= 4


Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1


So, Greatest Common Divisor of 964, 204, 543, 420 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 964, 204, 543, 420

Given numbers are 964, 204, 543, 420
The greatest common divisor of numbers 964, 204, 543, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 204, 543, 420 is 1.

FAQs on GCD of 964, 204, 543, 420 Calculator

1. What is the GCD of 964, 204, 543, 420?

GCD of given numbers 964, 204, 543, 420 is 1


2. How to calculate the greatest common divisor of 964, 204, 543, 420?

We can find the highest common divisor of 964, 204, 543, 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 964, 204, 543, 420 i.e 1.


3. How can I use the GCD of 964, 204, 543, 420Calculator?

Out the numbers 964, 204, 543, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.