GCD of 274, 472, 221, 241 Calculator

Given Input numbers are 274, 472, 221, 241

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

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 221 :

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

1, 13, 17, 221

Divisors of 241 :

The positive integer divisors of 241 that completely divides 241 are.

1, 241

GCD of numbers is the greatest common divisor

So, the GCD (274, 472, 221, 241) = 1.

Given numbers are 274, 472, 221, 241

The list of prime factors of all numbers are

Prime factors of 274 are 2 x 137

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 221 are 13 x 17

Prime factors of 241 are 241

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

Given numbers are 274, 472, 221, 241

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

Apply this formula for all numbers.

Step1:

LCM(274, 472) = 64664

GCD(274, 472) = ( 274 x 472 ) / 64664

= 274 / 472

= 274

Step2:

LCM(2, 221) = 442

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

= 2 / 221

= 2

Step3:

LCM(1, 241) = 241

GCD(1, 241) = ( 1 x 241 ) / 241

= 1 / 241

= 1

So, Greatest Common Divisor of 274, 472, 221, 241 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 795, 513, 162, 314
• GCD of 314, 430, 234, 370
• GCD of 652, 857, 682, 766
• GCD of 244, 493, 854, 526
• GCD of 260, 911, 959, 456

Given numbers are 274, 472, 221, 241
The greatest common divisor of numbers 274, 472, 221, 241 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 472, 221, 241 is 1.

1. What is the GCD of 274, 472, 221, 241?

GCD of given numbers 274, 472, 221, 241 is 1

2. How to calculate the greatest common divisor of 274, 472, 221, 241?

We can find the highest common divisor of 274, 472, 221, 241 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 274, 472, 221, 241 i.e 1.

3. How can I use the GCD of 274, 472, 221, 241Calculator?

Out the numbers 274, 472, 221, 241 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.