GCD of 156, 318, 138, 100 Calculator

Given Input numbers are 156, 318, 138, 100

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

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 138 :

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

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (156, 318, 138, 100) = 2.

Given numbers are 156, 318, 138, 100

The list of prime factors of all numbers are

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 318 are 2 x 3 x 53

Prime factors of 138 are 2 x 3 x 23

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 156, 318, 138, 100 is 2.

Given numbers are 156, 318, 138, 100

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

Apply this formula for all numbers.

Step1:

LCM(156, 318) = 8268

GCD(156, 318) = ( 156 x 318 ) / 8268

= 156 / 318

= 156

Step2:

LCM(6, 138) = 138

GCD(6, 138) = ( 6 x 138 ) / 138

= 6 / 138

= 6

Step3:

LCM(6, 100) = 300

GCD(6, 100) = ( 6 x 100 ) / 300

= 6 / 100

= 6

So, Greatest Common Divisor of 156, 318, 138, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 203, 493, 417, 168
• GCD of 393, 843, 682, 774
• GCD of 437, 738, 707, 803
• GCD of 464, 485, 325, 671
• GCD of 534, 120, 747, 600

Given numbers are 156, 318, 138, 100
The greatest common divisor of numbers 156, 318, 138, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 318, 138, 100 is 2.

1. What is the GCD of 156, 318, 138, 100?

GCD of given numbers 156, 318, 138, 100 is 2

2. How to calculate the greatest common divisor of 156, 318, 138, 100?

We can find the highest common divisor of 156, 318, 138, 100 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 156, 318, 138, 100 i.e 2.

3. How can I use the GCD of 156, 318, 138, 100Calculator?

Out the numbers 156, 318, 138, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.