GCD of 460, 363, 741, 221 Calculator

Given Input numbers are 460, 363, 741, 221

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

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 (460, 363, 741, 221) = 1.

Given numbers are 460, 363, 741, 221

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 363 are 3 x 11 x 11

Prime factors of 741 are 3 x 13 x 19

Prime factors of 221 are 13 x 17

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

Given numbers are 460, 363, 741, 221

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

Apply this formula for all numbers.

Step1:

LCM(460, 363) = 166980

GCD(460, 363) = ( 460 x 363 ) / 166980

= 460 / 363

= 460

Step2:

LCM(1, 741) = 741

GCD(1, 741) = ( 1 x 741 ) / 741

= 1 / 741

= 1

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 460, 363, 741, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 392, 797, 299, 190
• GCD of 357, 358, 990, 929
• GCD of 541, 530, 141, 481
• GCD of 568, 531, 672, 338
• GCD of 428, 860, 499, 981

Given numbers are 460, 363, 741, 221
The greatest common divisor of numbers 460, 363, 741, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 363, 741, 221 is 1.

1. What is the GCD of 460, 363, 741, 221?

GCD of given numbers 460, 363, 741, 221 is 1

2. How to calculate the greatest common divisor of 460, 363, 741, 221?

We can find the highest common divisor of 460, 363, 741, 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 460, 363, 741, 221 i.e 1.

3. How can I use the GCD of 460, 363, 741, 221Calculator?

Out the numbers 460, 363, 741, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.