GCD of 174, 351, 76, 661 Calculator

Given Input numbers are 174, 351, 76, 661

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Greatest Common Divisior

We found the divisors of 174, 351, 76, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 351, 76, 661 is 1.

Therefore, GCD of numbers 174, 351, 76, 661 is 1

Given Input Data is 174, 351, 76, 661

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 661 is 661

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, 351) = 20358

GCD(174, 351) = ( 174 x 351 ) / 20358

GCD(174, 351) = 61074 / 20358

GCD(174, 351) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 76

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

LCM(3, 76) = 228

GCD(3, 76) = ( 3 x 76 ) / 228

GCD(3, 76) = 228 / 228

GCD(3, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

GCD of 174, 351, 76, 661 is 1

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• GCD of 393, 678, 52, 679
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1. What is the GCD of 174, 351, 76, 661?

GCD of 174, 351, 76, 661 is 1

2. Where do I get the detailed procedure to find GCD of 174, 351, 76, 661?

You can find a detailed procedure to find GCD of 174, 351, 76, 661 on our page.

3. How to find GCD of 174, 351, 76, 661 on a calculator?

You can find the GCD of 174, 351, 76, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.