GCD of 106, 956, 148, 382 Calculator

Given Input numbers are 106, 956, 148, 382

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

Divisors of 106 :

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

1, 2, 53, 106

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 148 :

The positive integer divisors of 148 that completely divides 148 are.

1, 2, 4, 37, 74, 148

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (106, 956, 148, 382) = 2.

Given numbers are 106, 956, 148, 382

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 956 are 2 x 2 x 239

Prime factors of 148 are 2 x 2 x 37

Prime factors of 382 are 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 106, 956, 148, 382 is 2.

Given numbers are 106, 956, 148, 382

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

Apply this formula for all numbers.

Step1:

LCM(106, 956) = 50668

GCD(106, 956) = ( 106 x 956 ) / 50668

= 106 / 956

= 106

Step2:

LCM(2, 148) = 148

GCD(2, 148) = ( 2 x 148 ) / 148

= 2 / 148

= 2

Step3:

LCM(2, 382) = 382

GCD(2, 382) = ( 2 x 382 ) / 382

= 2 / 382

= 2

So, Greatest Common Divisor of 106, 956, 148, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 202, 327, 796, 668
• GCD of 929, 400, 792, 590
• GCD of 521, 332, 351, 402
• GCD of 939, 589, 353, 874
• GCD of 535, 333, 382, 346

Given numbers are 106, 956, 148, 382
The greatest common divisor of numbers 106, 956, 148, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 956, 148, 382 is 2.

1. What is the GCD of 106, 956, 148, 382?

GCD of given numbers 106, 956, 148, 382 is 2

2. How to calculate the greatest common divisor of 106, 956, 148, 382?

We can find the highest common divisor of 106, 956, 148, 382 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 106, 956, 148, 382 i.e 2.

3. How can I use the GCD of 106, 956, 148, 382Calculator?

Out the numbers 106, 956, 148, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.