GCD of 102, 516, 195, 138 Calculator

Given Input numbers are 102, 516, 195, 138

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 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 195 :

The positive integer divisors of 195 that completely divides 195 are.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (102, 516, 195, 138) = 3.

Given numbers are 102, 516, 195, 138

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 195 are 3 x 5 x 13

Prime factors of 138 are 2 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 102, 516, 195, 138 is 3.

Given numbers are 102, 516, 195, 138

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

Apply this formula for all numbers.

Step1:

LCM(102, 516) = 8772

GCD(102, 516) = ( 102 x 516 ) / 8772

= 102 / 516

= 102

Step2:

LCM(6, 195) = 390

GCD(6, 195) = ( 6 x 195 ) / 390

= 6 / 195

= 6

Step3:

LCM(3, 138) = 138

GCD(3, 138) = ( 3 x 138 ) / 138

= 3 / 138

= 3

So, Greatest Common Divisor of 102, 516, 195, 138 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 180, 404, 979, 745
• GCD of 228, 100, 118, 599
• GCD of 803, 734, 694, 612
• GCD of 401, 231, 895, 178
• GCD of 415, 415, 346, 898

Given numbers are 102, 516, 195, 138
The greatest common divisor of numbers 102, 516, 195, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 516, 195, 138 is 3.

1. What is the GCD of 102, 516, 195, 138?

GCD of given numbers 102, 516, 195, 138 is 3

2. How to calculate the greatest common divisor of 102, 516, 195, 138?

We can find the highest common divisor of 102, 516, 195, 138 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, 516, 195, 138 i.e 3.

3. How can I use the GCD of 102, 516, 195, 138Calculator?

Out the numbers 102, 516, 195, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.