GCD of 132, 224, 82, 352 Calculator

Given Input numbers are 132, 224, 82, 352

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 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 82 :

The positive integer divisors of 82 that completely divides 82 are.

1, 2, 41, 82

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

GCD of numbers is the greatest common divisor

So, the GCD (132, 224, 82, 352) = 2.

Given numbers are 132, 224, 82, 352

The list of prime factors of all numbers are

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

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

Prime factors of 82 are 2 x 41

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

The highest common occurrence is 2¹

Therefore, GCD of 132, 224, 82, 352 is 2.

Given numbers are 132, 224, 82, 352

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

Apply this formula for all numbers.

Step1:

LCM(132, 224) = 7392

GCD(132, 224) = ( 132 x 224 ) / 7392

= 132 / 224

= 132

Step2:

LCM(4, 82) = 164

GCD(4, 82) = ( 4 x 82 ) / 164

= 4 / 82

= 4

Step3:

LCM(2, 352) = 352

GCD(2, 352) = ( 2 x 352 ) / 352

= 2 / 352

= 2

So, Greatest Common Divisor of 132, 224, 82, 352 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 993, 50, 823
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• GCD of 507, 586, 98, 678
• GCD of 198, 705, 34, 982
• GCD of 167, 809, 48, 384

Given numbers are 132, 224, 82, 352
The greatest common divisor of numbers 132, 224, 82, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 224, 82, 352 is 2.

1. What is the GCD of 132, 224, 82, 352?

GCD of given numbers 132, 224, 82, 352 is 2

2. How to calculate the greatest common divisor of 132, 224, 82, 352?

We can find the highest common divisor of 132, 224, 82, 352 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, 224, 82, 352 i.e 2.

3. How can I use the GCD of 132, 224, 82, 352Calculator?

Out the numbers 132, 224, 82, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.