GCD of 168, 270, 105 Calculator

Given Input numbers are 168, 270, 105

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

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

GCD of numbers is the greatest common divisor

So, the GCD (168, 270, 105) = 3.

Given numbers are 168, 270, 105

The list of prime factors of all numbers are

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 105 are 3 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 168, 270, 105 is 3.

Given numbers are 168, 270, 105

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

Apply this formula for all numbers.

Step1:

LCM(168, 270) = 7560

GCD(168, 270) = ( 168 x 270 ) / 7560

= 168 / 270

= 168

Step2:

LCM(6, 105) = 210

GCD(6, 105) = ( 6 x 105 ) / 210

= 6 / 105

= 6

So, Greatest Common Divisor of 168, 270, 105 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 959, 683
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Given numbers are 168, 270, 105
The greatest common divisor of numbers 168, 270, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 168, 270, 105 is 3.

1. What is the GCD of 168, 270, 105?

GCD of given numbers 168, 270, 105 is 3

2. How to calculate the greatest common divisor of 168, 270, 105?

We can find the highest common divisor of 168, 270, 105 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 168, 270, 105 i.e 3.

3. How can I use the GCD of 168, 270, 105Calculator?

Out the numbers 168, 270, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.