GCD of 132, 214, 948, 532 Calculator

Given Input numbers are 132, 214, 948, 532

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 948 :

The positive integer divisors of 948 that completely divides 948 are.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

GCD of numbers is the greatest common divisor

So, the GCD (132, 214, 948, 532) = 2.

Given numbers are 132, 214, 948, 532

The list of prime factors of all numbers are

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

Prime factors of 214 are 2 x 107

Prime factors of 948 are 2 x 2 x 3 x 79

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 132, 214, 948, 532 is 2.

Given numbers are 132, 214, 948, 532

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

Apply this formula for all numbers.

Step1:

LCM(132, 214) = 14124

GCD(132, 214) = ( 132 x 214 ) / 14124

= 132 / 214

= 132

Step2:

LCM(2, 948) = 948

GCD(2, 948) = ( 2 x 948 ) / 948

= 2 / 948

= 2

Step3:

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

= 2 / 532

= 2

So, Greatest Common Divisor of 132, 214, 948, 532 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 323, 631, 842
• GCD of 229, 923, 467, 908
• GCD of 488, 770, 805, 652
• GCD of 919, 764, 512, 128
• GCD of 611, 202, 936, 680

Given numbers are 132, 214, 948, 532
The greatest common divisor of numbers 132, 214, 948, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 214, 948, 532 is 2.

1. What is the GCD of 132, 214, 948, 532?

GCD of given numbers 132, 214, 948, 532 is 2

2. How to calculate the greatest common divisor of 132, 214, 948, 532?

We can find the highest common divisor of 132, 214, 948, 532 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, 214, 948, 532 i.e 2.

3. How can I use the GCD of 132, 214, 948, 532Calculator?

Out the numbers 132, 214, 948, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.