GCD of 132, 398, 106, 830 Calculator

Given Input numbers are 132, 398, 106, 830

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 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

GCD of numbers is the greatest common divisor

So, the GCD (132, 398, 106, 830) = 2.

Given numbers are 132, 398, 106, 830

The list of prime factors of all numbers are

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

Prime factors of 398 are 2 x 199

Prime factors of 106 are 2 x 53

Prime factors of 830 are 2 x 5 x 83

The highest common occurrence is 2¹

Therefore, GCD of 132, 398, 106, 830 is 2.

Given numbers are 132, 398, 106, 830

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

Apply this formula for all numbers.

Step1:

LCM(132, 398) = 26268

GCD(132, 398) = ( 132 x 398 ) / 26268

= 132 / 398

= 132

Step2:

LCM(2, 106) = 106

GCD(2, 106) = ( 2 x 106 ) / 106

= 2 / 106

= 2

Step3:

LCM(2, 830) = 830

GCD(2, 830) = ( 2 x 830 ) / 830

= 2 / 830

= 2

So, Greatest Common Divisor of 132, 398, 106, 830 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 272, 851, 439
• GCD of 676, 490, 861, 991
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• GCD of 235, 117, 265, 113
• GCD of 223, 757, 443, 369

Given numbers are 132, 398, 106, 830
The greatest common divisor of numbers 132, 398, 106, 830 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 398, 106, 830 is 2.

1. What is the GCD of 132, 398, 106, 830?

GCD of given numbers 132, 398, 106, 830 is 2

2. How to calculate the greatest common divisor of 132, 398, 106, 830?

We can find the highest common divisor of 132, 398, 106, 830 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, 398, 106, 830 i.e 2.

3. How can I use the GCD of 132, 398, 106, 830Calculator?

Out the numbers 132, 398, 106, 830 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.