GCD of 132, 563, 814, 224 Calculator

Given Input numbers are 132, 563, 814, 224

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 563 :

The positive integer divisors of 563 that completely divides 563 are.

1, 563

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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

GCD of numbers is the greatest common divisor

So, the GCD (132, 563, 814, 224) = 1.

Given numbers are 132, 563, 814, 224

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 563 are 563

Prime factors of 814 are 2 x 11 x 37

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

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

Given numbers are 132, 563, 814, 224

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

Apply this formula for all numbers.

Step1:

LCM(132, 563) = 74316

GCD(132, 563) = ( 132 x 563 ) / 74316

= 132 / 563

= 132

Step2:

LCM(1, 814) = 814

GCD(1, 814) = ( 1 x 814 ) / 814

= 1 / 814

= 1

Step3:

LCM(1, 224) = 224

GCD(1, 224) = ( 1 x 224 ) / 224

= 1 / 224

= 1

So, Greatest Common Divisor of 132, 563, 814, 224 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 728, 712, 180, 541
• GCD of 701, 709, 783, 760
• GCD of 329, 900, 399, 206
• GCD of 120, 610, 180, 632
• GCD of 439, 143, 705, 277

Given numbers are 132, 563, 814, 224
The greatest common divisor of numbers 132, 563, 814, 224 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 563, 814, 224 is 1.

1. What is the GCD of 132, 563, 814, 224?

GCD of given numbers 132, 563, 814, 224 is 1

2. How to calculate the greatest common divisor of 132, 563, 814, 224?

We can find the highest common divisor of 132, 563, 814, 224 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 132, 563, 814, 224 i.e 1.

3. How can I use the GCD of 132, 563, 814, 224Calculator?

Out the numbers 132, 563, 814, 224 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.