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GCD of 428, 528, 470, 221 Calculator

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


Online GCD Calculator is useful to find the GCD of 428, 528, 470, 221 quickly. Get the easiest ways to solve the greatest common divisor of 428, 528, 470, 221 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 428, 528, 470, 221 with Factoring?

Given Input numbers are 428, 528, 470, 221

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

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221


GCD of numbers is the greatest common divisor

So, the GCD (428, 528, 470, 221) = 1.

Find GCD of 428, 528, 470, 221 using Prime Factorization

Given numbers are 428, 528, 470, 221

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 470 are 2 x 5 x 47

Prime factors of 221 are 13 x 17

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

Steps to Calculate GCD of 428, 528, 470, 221 using LCM Formula

Given numbers are 428, 528, 470, 221

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

Apply this formula for all numbers.

Step1:

LCM(428, 528) = 56496

GCD(428, 528) = ( 428 x 528 ) / 56496

= 428 / 528

= 428


Step2:

LCM(4, 470) = 940

GCD(4, 470) = ( 4 x 470 ) / 940

= 4 / 470

= 4


Step3:

LCM(2, 221) = 442

GCD(2, 221) = ( 2 x 221 ) / 442

= 2 / 221

= 2


So, Greatest Common Divisor of 428, 528, 470, 221 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 428, 528, 470, 221

Given numbers are 428, 528, 470, 221
The greatest common divisor of numbers 428, 528, 470, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 528, 470, 221 is 1.

FAQs on GCD of 428, 528, 470, 221 Calculator

1. What is the GCD of 428, 528, 470, 221?

GCD of given numbers 428, 528, 470, 221 is 1


2. How to calculate the greatest common divisor of 428, 528, 470, 221?

We can find the highest common divisor of 428, 528, 470, 221 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 428, 528, 470, 221 i.e 1.


3. How can I use the GCD of 428, 528, 470, 221Calculator?

Out the numbers 428, 528, 470, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.