GCD of 174, 766, 77, 370 Calculator

Given Input numbers are 174, 766, 77, 370

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 766

List of positive integer divisors of 766 that divides 766 without a remainder.

1, 2, 383, 766

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 370

List of positive integer divisors of 370 that divides 370 without a remainder.

1, 2, 5, 10, 37, 74, 185, 370

Greatest Common Divisior

We found the divisors of 174, 766, 77, 370 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 174, 766, 77, 370 is 1.

Therefore, GCD of numbers 174, 766, 77, 370 is 1

Given Input Data is 174, 766, 77, 370

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 766 is 2 x 383

Prime Factorization of 77 is 7 x 11

Prime Factorization of 370 is 2 x 5 x 37

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, 766) = 66642

GCD(174, 766) = ( 174 x 766 ) / 66642

GCD(174, 766) = 133284 / 66642

GCD(174, 766) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 370

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

LCM(1, 370) = 370

GCD(1, 370) = ( 1 x 370 ) / 370

GCD(1, 370) = 370 / 370

GCD(1, 370) = 1

GCD of 174, 766, 77, 370 is 1

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1. What is the GCD of 174, 766, 77, 370?

GCD of 174, 766, 77, 370 is 1

2. Where do I get the detailed procedure to find GCD of 174, 766, 77, 370?

You can find a detailed procedure to find GCD of 174, 766, 77, 370 on our page.

3. How to find GCD of 174, 766, 77, 370 on a calculator?

You can find the GCD of 174, 766, 77, 370 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.