GCD of 106, 334, 14, 160 Calculator

Given Input numbers are 106, 334, 14, 160

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 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

Divisors of 14 :

The positive integer divisors of 14 that completely divides 14 are.

1, 2, 7, 14

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (106, 334, 14, 160) = 2.

Given numbers are 106, 334, 14, 160

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 334 are 2 x 167

Prime factors of 14 are 2 x 7

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 106, 334, 14, 160 is 2.

Given numbers are 106, 334, 14, 160

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

Apply this formula for all numbers.

Step1:

LCM(106, 334) = 17702

GCD(106, 334) = ( 106 x 334 ) / 17702

= 106 / 334

= 106

Step2:

LCM(2, 14) = 14

GCD(2, 14) = ( 2 x 14 ) / 14

= 2 / 14

= 2

Step3:

LCM(2, 160) = 160

GCD(2, 160) = ( 2 x 160 ) / 160

= 2 / 160

= 2

So, Greatest Common Divisor of 106, 334, 14, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 694, 299, 74, 231
• GCD of 400, 634, 27, 664
• GCD of 601, 297, 86, 332
• GCD of 909, 826, 81, 749
• GCD of 281, 583, 20, 689

Given numbers are 106, 334, 14, 160
The greatest common divisor of numbers 106, 334, 14, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 334, 14, 160 is 2.

1. What is the GCD of 106, 334, 14, 160?

GCD of given numbers 106, 334, 14, 160 is 2

2. How to calculate the greatest common divisor of 106, 334, 14, 160?

We can find the highest common divisor of 106, 334, 14, 160 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, 334, 14, 160 i.e 2.

3. How can I use the GCD of 106, 334, 14, 160Calculator?

Out the numbers 106, 334, 14, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.