GCD of 174, 264, 141 Calculator

Given Input numbers are 174, 264, 141

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

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 141 :

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

1, 3, 47, 141

GCD of numbers is the greatest common divisor

So, the GCD (174, 264, 141) = 3.

Given numbers are 174, 264, 141

The list of prime factors of all numbers are

Prime factors of 174 are 2 x 3 x 29

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 141 are 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 174, 264, 141 is 3.

Given numbers are 174, 264, 141

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

Apply this formula for all numbers.

Step1:

LCM(174, 264) = 7656

GCD(174, 264) = ( 174 x 264 ) / 7656

= 174 / 264

= 174

Step2:

LCM(6, 141) = 282

GCD(6, 141) = ( 6 x 141 ) / 282

= 6 / 141

= 6

So, Greatest Common Divisor of 174, 264, 141 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 483, 348, 320
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Given numbers are 174, 264, 141
The greatest common divisor of numbers 174, 264, 141 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 264, 141 is 3.

1. What is the GCD of 174, 264, 141?

GCD of given numbers 174, 264, 141 is 3

2. How to calculate the greatest common divisor of 174, 264, 141?

We can find the highest common divisor of 174, 264, 141 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 174, 264, 141 i.e 3.

3. How can I use the GCD of 174, 264, 141Calculator?

Out the numbers 174, 264, 141 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.