GCD of 221, 575, 552, 420 Calculator

Given Input numbers are 221, 575, 552, 420

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

Divisors of 221 :

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

1, 13, 17, 221

Divisors of 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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 (221, 575, 552, 420) = 1.

Given numbers are 221, 575, 552, 420

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 575 are 5 x 5 x 23

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

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

Given numbers are 221, 575, 552, 420

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

Apply this formula for all numbers.

Step1:

LCM(221, 575) = 127075

GCD(221, 575) = ( 221 x 575 ) / 127075

= 221 / 575

= 221

Step2:

LCM(1, 552) = 552

GCD(1, 552) = ( 1 x 552 ) / 552

= 1 / 552

= 1

Step3:

LCM(1, 420) = 420

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

= 1 / 420

= 1

So, Greatest Common Divisor of 221, 575, 552, 420 is 1

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Given numbers are 221, 575, 552, 420
The greatest common divisor of numbers 221, 575, 552, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 575, 552, 420 is 1.

1. What is the GCD of 221, 575, 552, 420?

GCD of given numbers 221, 575, 552, 420 is 1

2. How to calculate the greatest common divisor of 221, 575, 552, 420?

We can find the highest common divisor of 221, 575, 552, 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 221, 575, 552, 420 i.e 1.

3. How can I use the GCD of 221, 575, 552, 420Calculator?

Out the numbers 221, 575, 552, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.