GCD of 103, 174, 161, 692 Calculator

Given Input numbers are 103, 174, 161, 692

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

Divisors of 103

List of positive integer divisors of 103 that divides 103 without a remainder.

1, 103

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 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 692

List of positive integer divisors of 692 that divides 692 without a remainder.

1, 2, 4, 173, 346, 692

Greatest Common Divisior

We found the divisors of 103, 174, 161, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 103, 174, 161, 692 is 1.

Therefore, GCD of numbers 103, 174, 161, 692 is 1

Given Input Data is 103, 174, 161, 692

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

Prime Factorization of 103 is 103

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 161 is 7 x 23

Prime Factorization of 692 is 2 x 2 x 173

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(103, 174) = 17922

GCD(103, 174) = ( 103 x 174 ) / 17922

GCD(103, 174) = 17922 / 17922

GCD(103, 174) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 692

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

LCM(1, 692) = 692

GCD(1, 692) = ( 1 x 692 ) / 692

GCD(1, 692) = 692 / 692

GCD(1, 692) = 1

GCD of 103, 174, 161, 692 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 656, 729, 908, 373
• GCD of 326, 696, 909, 984
• GCD of 743, 345, 833, 750
• GCD of 172, 983, 269, 471
• GCD of 379, 703, 113, 513

1. What is the GCD of 103, 174, 161, 692?

GCD of 103, 174, 161, 692 is 1

2. Where do I get the detailed procedure to find GCD of 103, 174, 161, 692?

You can find a detailed procedure to find GCD of 103, 174, 161, 692 on our page.

3. How to find GCD of 103, 174, 161, 692 on a calculator?

You can find the GCD of 103, 174, 161, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.