GCD of 966, 106, 242, 172 Calculator

Given Input numbers are 966, 106, 242, 172

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 106 :

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

1, 2, 53, 106

Divisors of 242 :

The positive integer divisors of 242 that completely divides 242 are.

1, 2, 11, 22, 121, 242

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

GCD of numbers is the greatest common divisor

So, the GCD (966, 106, 242, 172) = 2.

Given numbers are 966, 106, 242, 172

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 106 are 2 x 53

Prime factors of 242 are 2 x 11 x 11

Prime factors of 172 are 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 966, 106, 242, 172 is 2.

Given numbers are 966, 106, 242, 172

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

Apply this formula for all numbers.

Step1:

LCM(966, 106) = 51198

GCD(966, 106) = ( 966 x 106 ) / 51198

= 966 / 106

= 966

Step2:

LCM(2, 242) = 242

GCD(2, 242) = ( 2 x 242 ) / 242

= 2 / 242

= 2

Step3:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

So, Greatest Common Divisor of 966, 106, 242, 172 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 184, 215, 844
• GCD of 988, 268, 559, 271
• GCD of 656, 189, 922, 801
• GCD of 867, 329, 375, 526
• GCD of 423, 296, 983, 595

Given numbers are 966, 106, 242, 172
The greatest common divisor of numbers 966, 106, 242, 172 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 106, 242, 172 is 2.

1. What is the GCD of 966, 106, 242, 172?

GCD of given numbers 966, 106, 242, 172 is 2

2. How to calculate the greatest common divisor of 966, 106, 242, 172?

We can find the highest common divisor of 966, 106, 242, 172 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 966, 106, 242, 172 i.e 2.

3. How can I use the GCD of 966, 106, 242, 172Calculator?

Out the numbers 966, 106, 242, 172 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.