GCD of 135, 141, 102 Calculator

Given Input numbers are 135, 141, 102

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

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

GCD of numbers is the greatest common divisor

So, the GCD (135, 141, 102) = 3.

Given numbers are 135, 141, 102

The list of prime factors of all numbers are

Prime factors of 135 are 3 x 3 x 3 x 5

Prime factors of 141 are 3 x 47

Prime factors of 102 are 2 x 3 x 17

The highest common occurrence is 3¹

Therefore, GCD of 135, 141, 102 is 3.

Given numbers are 135, 141, 102

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

Apply this formula for all numbers.

Step1:

LCM(135, 141) = 6345

GCD(135, 141) = ( 135 x 141 ) / 6345

= 135 / 141

= 135

Step2:

LCM(3, 102) = 102

GCD(3, 102) = ( 3 x 102 ) / 102

= 3 / 102

= 3

So, Greatest Common Divisor of 135, 141, 102 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 756, 514, 394
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• GCD of 248, 607, 551
• GCD of 214, 638, 425
• GCD of 618, 436, 461

Given numbers are 135, 141, 102
The greatest common divisor of numbers 135, 141, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 141, 102 is 3.

1. What is the GCD of 135, 141, 102?

GCD of given numbers 135, 141, 102 is 3

2. How to calculate the greatest common divisor of 135, 141, 102?

We can find the highest common divisor of 135, 141, 102 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 135, 141, 102 i.e 3.

3. How can I use the GCD of 135, 141, 102Calculator?

Out the numbers 135, 141, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.