GCD of 106, 118, 114, 359 Calculator

Given Input numbers are 106, 118, 114, 359

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 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 359 :

The positive integer divisors of 359 that completely divides 359 are.

1, 359

GCD of numbers is the greatest common divisor

So, the GCD (106, 118, 114, 359) = 1.

Given numbers are 106, 118, 114, 359

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 118 are 2 x 59

Prime factors of 114 are 2 x 3 x 19

Prime factors of 359 are 359

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 106, 118, 114, 359

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

Apply this formula for all numbers.

Step1:

LCM(106, 118) = 6254

GCD(106, 118) = ( 106 x 118 ) / 6254

= 106 / 118

= 106

Step2:

LCM(2, 114) = 114

GCD(2, 114) = ( 2 x 114 ) / 114

= 2 / 114

= 2

Step3:

LCM(2, 359) = 718

GCD(2, 359) = ( 2 x 359 ) / 718

= 2 / 359

= 2

So, Greatest Common Divisor of 106, 118, 114, 359 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 994, 186, 951
• GCD of 492, 121, 363, 784
• GCD of 356, 810, 570, 183
• GCD of 855, 336, 529, 683
• GCD of 346, 913, 805, 869

Given numbers are 106, 118, 114, 359
The greatest common divisor of numbers 106, 118, 114, 359 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 118, 114, 359 is 1.

1. What is the GCD of 106, 118, 114, 359?

GCD of given numbers 106, 118, 114, 359 is 1

2. How to calculate the greatest common divisor of 106, 118, 114, 359?

We can find the highest common divisor of 106, 118, 114, 359 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, 118, 114, 359 i.e 1.

3. How can I use the GCD of 106, 118, 114, 359Calculator?

Out the numbers 106, 118, 114, 359 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.