GCD of 71, 711, 174, 942 Calculator

Given Input numbers are 71, 711, 174, 942

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

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 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 71, 711, 174, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 711, 174, 942 is 1.

Therefore, GCD of numbers 71, 711, 174, 942 is 1

Given Input Data is 71, 711, 174, 942

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

Prime Factorization of 71 is 71

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 174 is 2 x 3 x 29

Prime Factorization of 942 is 2 x 3 x 157

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(71, 711) = 50481

GCD(71, 711) = ( 71 x 711 ) / 50481

GCD(71, 711) = 50481 / 50481

GCD(71, 711) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 174

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

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

GCD(1, 174) = 174 / 174

GCD(1, 174) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 71, 711, 174, 942 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 25, 521, 964, 804
• GCD of 43, 102, 635, 932
• GCD of 35, 101, 318, 470
• GCD of 85, 680, 273, 856
• GCD of 20, 642, 429, 616

1. What is the GCD of 71, 711, 174, 942?

GCD of 71, 711, 174, 942 is 1

2. Where do I get the detailed procedure to find GCD of 71, 711, 174, 942?

You can find a detailed procedure to find GCD of 71, 711, 174, 942 on our page.

3. How to find GCD of 71, 711, 174, 942 on a calculator?

You can find the GCD of 71, 711, 174, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.