GCD of 102, 242, 360, 108 Calculator

Given Input numbers are 102, 242, 360, 108

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 242 :

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

1, 2, 11, 22, 121, 242

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (102, 242, 360, 108) = 2.

Given numbers are 102, 242, 360, 108

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 242 are 2 x 11 x 11

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 102, 242, 360, 108 is 2.

Given numbers are 102, 242, 360, 108

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

Apply this formula for all numbers.

Step1:

LCM(102, 242) = 12342

GCD(102, 242) = ( 102 x 242 ) / 12342

= 102 / 242

= 102

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 102, 242, 360, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 632, 796, 986, 953
• GCD of 668, 340, 595, 489
• GCD of 992, 328, 977, 397
• GCD of 505, 445, 153, 425
• GCD of 901, 157, 900, 205

Given numbers are 102, 242, 360, 108
The greatest common divisor of numbers 102, 242, 360, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 242, 360, 108 is 2.

1. What is the GCD of 102, 242, 360, 108?

GCD of given numbers 102, 242, 360, 108 is 2

2. How to calculate the greatest common divisor of 102, 242, 360, 108?

We can find the highest common divisor of 102, 242, 360, 108 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 102, 242, 360, 108 i.e 2.

3. How can I use the GCD of 102, 242, 360, 108Calculator?

Out the numbers 102, 242, 360, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.