GCD of 224, 351, 456, 272 Calculator

Given Input numbers are 224, 351, 456, 272

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

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 351 :

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

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

GCD of numbers is the greatest common divisor

So, the GCD (224, 351, 456, 272) = 1.

Given numbers are 224, 351, 456, 272

The list of prime factors of all numbers are

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

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

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

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

Given numbers are 224, 351, 456, 272

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

Apply this formula for all numbers.

Step1:

LCM(224, 351) = 78624

GCD(224, 351) = ( 224 x 351 ) / 78624

= 224 / 351

= 224

Step2:

LCM(1, 456) = 456

GCD(1, 456) = ( 1 x 456 ) / 456

= 1 / 456

= 1

Step3:

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

= 1 / 272

= 1

So, Greatest Common Divisor of 224, 351, 456, 272 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 283, 645, 772, 151
• GCD of 524, 346, 143, 699
• GCD of 353, 590, 999, 621
• GCD of 602, 993, 379, 358
• GCD of 799, 971, 658, 740

Given numbers are 224, 351, 456, 272
The greatest common divisor of numbers 224, 351, 456, 272 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 351, 456, 272 is 1.

1. What is the GCD of 224, 351, 456, 272?

GCD of given numbers 224, 351, 456, 272 is 1

2. How to calculate the greatest common divisor of 224, 351, 456, 272?

We can find the highest common divisor of 224, 351, 456, 272 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 224, 351, 456, 272 i.e 1.

3. How can I use the GCD of 224, 351, 456, 272Calculator?

Out the numbers 224, 351, 456, 272 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.