GCD of 132, 144, 174, 574 Calculator

Given Input numbers are 132, 144, 174, 574

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

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 174 :

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

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

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (132, 144, 174, 574) = 2.

Given numbers are 132, 144, 174, 574

The list of prime factors of all numbers are

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 174 are 2 x 3 x 29

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 2¹

Therefore, GCD of 132, 144, 174, 574 is 2.

Given numbers are 132, 144, 174, 574

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

Apply this formula for all numbers.

Step1:

LCM(132, 144) = 1584

GCD(132, 144) = ( 132 x 144 ) / 1584

= 132 / 144

= 132

Step2:

LCM(12, 174) = 348

GCD(12, 174) = ( 12 x 174 ) / 348

= 12 / 174

= 12

Step3:

LCM(6, 574) = 1722

GCD(6, 574) = ( 6 x 574 ) / 1722

= 6 / 574

= 6

So, Greatest Common Divisor of 132, 144, 174, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 328, 287, 421
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• GCD of 557, 810, 683, 868
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• GCD of 836, 170, 525, 654

Given numbers are 132, 144, 174, 574
The greatest common divisor of numbers 132, 144, 174, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 144, 174, 574 is 2.

1. What is the GCD of 132, 144, 174, 574?

GCD of given numbers 132, 144, 174, 574 is 2

2. How to calculate the greatest common divisor of 132, 144, 174, 574?

We can find the highest common divisor of 132, 144, 174, 574 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 132, 144, 174, 574 i.e 2.

3. How can I use the GCD of 132, 144, 174, 574Calculator?

Out the numbers 132, 144, 174, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.