GCD of 462, 342, 138, 909 Calculator

Given Input numbers are 462, 342, 138, 909

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 138 :

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

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

GCD of numbers is the greatest common divisor

So, the GCD (462, 342, 138, 909) = 3.

Given numbers are 462, 342, 138, 909

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 138 are 2 x 3 x 23

Prime factors of 909 are 3 x 3 x 101

The highest common occurrence is 3¹

Therefore, GCD of 462, 342, 138, 909 is 3.

Given numbers are 462, 342, 138, 909

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

Apply this formula for all numbers.

Step1:

LCM(462, 342) = 26334

GCD(462, 342) = ( 462 x 342 ) / 26334

= 462 / 342

= 462

Step2:

LCM(6, 138) = 138

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

= 6 / 138

= 6

Step3:

LCM(6, 909) = 1818

GCD(6, 909) = ( 6 x 909 ) / 1818

= 6 / 909

= 6

So, Greatest Common Divisor of 462, 342, 138, 909 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 915, 697, 458, 183
• GCD of 720, 243, 128, 156
• GCD of 385, 217, 663, 225
• GCD of 976, 593, 392, 119
• GCD of 784, 457, 462, 170

Given numbers are 462, 342, 138, 909
The greatest common divisor of numbers 462, 342, 138, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 342, 138, 909 is 3.

1. What is the GCD of 462, 342, 138, 909?

GCD of given numbers 462, 342, 138, 909 is 3

2. How to calculate the greatest common divisor of 462, 342, 138, 909?

We can find the highest common divisor of 462, 342, 138, 909 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 462, 342, 138, 909 i.e 3.

3. How can I use the GCD of 462, 342, 138, 909Calculator?

Out the numbers 462, 342, 138, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.