GCD of 221, 546, 351, 325 Calculator

Given Input numbers are 221, 546, 351, 325

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 546 :

The positive integer divisors of 546 that completely divides 546 are.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Divisors of 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

GCD of numbers is the greatest common divisor

So, the GCD (221, 546, 351, 325) = 13.

Given numbers are 221, 546, 351, 325

The list of prime factors of all numbers are

Prime factors of 221 are 13 x 17

Prime factors of 546 are 2 x 3 x 7 x 13

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 325 are 5 x 5 x 13

The highest common occurrence is 13¹

Therefore, GCD of 221, 546, 351, 325 is 13.

Given numbers are 221, 546, 351, 325

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

Apply this formula for all numbers.

Step1:

LCM(221, 546) = 9282

GCD(221, 546) = ( 221 x 546 ) / 9282

= 221 / 546

= 221

Step2:

LCM(13, 351) = 351

GCD(13, 351) = ( 13 x 351 ) / 351

= 13 / 351

= 13

Step3:

LCM(13, 325) = 325

GCD(13, 325) = ( 13 x 325 ) / 325

= 13 / 325

= 13

So, Greatest Common Divisor of 221, 546, 351, 325 is 13

Here are some samples of GCD of Numbers calculations.

• GCD of 947, 905, 502, 968
• GCD of 651, 179, 792, 991
• GCD of 656, 190, 630, 796
• GCD of 410, 856, 151, 675
• GCD of 794, 664, 197, 479

Given numbers are 221, 546, 351, 325
The greatest common divisor of numbers 221, 546, 351, 325 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 221, 546, 351, 325 is 13.

1. What is the GCD of 221, 546, 351, 325?

GCD of given numbers 221, 546, 351, 325 is 13

2. How to calculate the greatest common divisor of 221, 546, 351, 325?

We can find the highest common divisor of 221, 546, 351, 325 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, 546, 351, 325 i.e 13.

3. How can I use the GCD of 221, 546, 351, 325Calculator?

Out the numbers 221, 546, 351, 325 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.