GCD of 174, 861, 67, 144 Calculator

Given Input numbers are 174, 861, 67, 144

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 174

List of positive integer divisors of 174 that divides 174 without a remainder.

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 144

List of positive integer divisors of 144 that divides 144 without a remainder.

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

Greatest Common Divisior

We found the divisors of 174, 861, 67, 144 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 861, 67, 144 is 1.

Therefore, GCD of numbers 174, 861, 67, 144 is 1

Given Input Data is 174, 861, 67, 144

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 67 is 67

Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

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

LCM(174, 861) = 49938

GCD(174, 861) = ( 174 x 861 ) / 49938

GCD(174, 861) = 149814 / 49938

GCD(174, 861) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 67

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

LCM(3, 67) = 201

GCD(3, 67) = ( 3 x 67 ) / 201

GCD(3, 67) = 201 / 201

GCD(3, 67) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 144

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

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

GCD(1, 144) = 144 / 144

GCD(1, 144) = 1

GCD of 174, 861, 67, 144 is 1

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• GCD of 272, 487, 71, 580
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1. What is the GCD of 174, 861, 67, 144?

GCD of 174, 861, 67, 144 is 1

2. Where do I get the detailed procedure to find GCD of 174, 861, 67, 144?

You can find a detailed procedure to find GCD of 174, 861, 67, 144 on our page.

3. How to find GCD of 174, 861, 67, 144 on a calculator?

You can find the GCD of 174, 861, 67, 144 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.