GCD of 138, 105, 153 Calculator

Given Input numbers are 138, 105, 153

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

Divisors of 138 :

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

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

Divisors of 105 :

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

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

Divisors of 153 :

The positive integer divisors of 153 that completely divides 153 are.

1, 3, 9, 17, 51, 153

GCD of numbers is the greatest common divisor

So, the GCD (138, 105, 153) = 3.

Given numbers are 138, 105, 153

The list of prime factors of all numbers are

Prime factors of 138 are 2 x 3 x 23

Prime factors of 105 are 3 x 5 x 7

Prime factors of 153 are 3 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 138, 105, 153 is 3.

Given numbers are 138, 105, 153

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

Apply this formula for all numbers.

Step1:

LCM(138, 105) = 4830

GCD(138, 105) = ( 138 x 105 ) / 4830

= 138 / 105

= 138

Step2:

LCM(3, 153) = 153

GCD(3, 153) = ( 3 x 153 ) / 153

= 3 / 153

= 3

So, Greatest Common Divisor of 138, 105, 153 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 532, 330, 678
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Given numbers are 138, 105, 153
The greatest common divisor of numbers 138, 105, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 105, 153 is 3.

1. What is the GCD of 138, 105, 153?

GCD of given numbers 138, 105, 153 is 3

2. How to calculate the greatest common divisor of 138, 105, 153?

We can find the highest common divisor of 138, 105, 153 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 138, 105, 153 i.e 3.

3. How can I use the GCD of 138, 105, 153Calculator?

Out the numbers 138, 105, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.