GCD of 132, 598, 832, 208 Calculator

Given Input numbers are 132, 598, 832, 208

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 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

GCD of numbers is the greatest common divisor

So, the GCD (132, 598, 832, 208) = 2.

Given numbers are 132, 598, 832, 208

The list of prime factors of all numbers are

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

Prime factors of 598 are 2 x 13 x 23

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

The highest common occurrence is 2¹

Therefore, GCD of 132, 598, 832, 208 is 2.

Given numbers are 132, 598, 832, 208

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

Apply this formula for all numbers.

Step1:

LCM(132, 598) = 39468

GCD(132, 598) = ( 132 x 598 ) / 39468

= 132 / 598

= 132

Step2:

LCM(2, 832) = 832

GCD(2, 832) = ( 2 x 832 ) / 832

= 2 / 832

= 2

Step3:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

So, Greatest Common Divisor of 132, 598, 832, 208 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 455, 434, 315
• GCD of 918, 269, 808, 576
• GCD of 472, 501, 593, 242
• GCD of 121, 364, 759, 318
• GCD of 935, 266, 553, 712

Given numbers are 132, 598, 832, 208
The greatest common divisor of numbers 132, 598, 832, 208 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 598, 832, 208 is 2.

1. What is the GCD of 132, 598, 832, 208?

GCD of given numbers 132, 598, 832, 208 is 2

2. How to calculate the greatest common divisor of 132, 598, 832, 208?

We can find the highest common divisor of 132, 598, 832, 208 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, 598, 832, 208 i.e 2.

3. How can I use the GCD of 132, 598, 832, 208Calculator?

Out the numbers 132, 598, 832, 208 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.