GCD of 141, 336, 189 Calculator

Given Input numbers are 141, 336, 189

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

Divisors of 141 :

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

1, 3, 47, 141

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (141, 336, 189) = 3.

Given numbers are 141, 336, 189

The list of prime factors of all numbers are

Prime factors of 141 are 3 x 47

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 189 are 3 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 141, 336, 189 is 3.

Given numbers are 141, 336, 189

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

Apply this formula for all numbers.

Step1:

LCM(141, 336) = 15792

GCD(141, 336) = ( 141 x 336 ) / 15792

= 141 / 336

= 141

Step2:

LCM(3, 189) = 189

GCD(3, 189) = ( 3 x 189 ) / 189

= 3 / 189

= 3

So, Greatest Common Divisor of 141, 336, 189 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 591, 337, 134
• GCD of 963, 358, 445
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• GCD of 169, 780, 601
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Given numbers are 141, 336, 189
The greatest common divisor of numbers 141, 336, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 141, 336, 189 is 3.

1. What is the GCD of 141, 336, 189?

GCD of given numbers 141, 336, 189 is 3

2. How to calculate the greatest common divisor of 141, 336, 189?

We can find the highest common divisor of 141, 336, 189 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 141, 336, 189 i.e 3.

3. How can I use the GCD of 141, 336, 189Calculator?

Out the numbers 141, 336, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.