GCD of 942, 909, 71, 177 Calculator

Given Input numbers are 942, 909, 71, 177

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

Divisors of 942

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

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

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Divisors of 71

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

1, 71

Divisors of 177

List of positive integer divisors of 177 that divides 177 without a remainder.

1, 3, 59, 177

Greatest Common Divisior

We found the divisors of 942, 909, 71, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 942, 909, 71, 177 is 1.

Therefore, GCD of numbers 942, 909, 71, 177 is 1

Given Input Data is 942, 909, 71, 177

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

Prime Factorization of 942 is 2 x 3 x 157

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 71 is 71

Prime Factorization of 177 is 3 x 59

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(942, 909) = 285426

GCD(942, 909) = ( 942 x 909 ) / 285426

GCD(942, 909) = 856278 / 285426

GCD(942, 909) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 71

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

LCM(3, 71) = 213

GCD(3, 71) = ( 3 x 71 ) / 213

GCD(3, 71) = 213 / 213

GCD(3, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 177

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

LCM(1, 177) = 177

GCD(1, 177) = ( 1 x 177 ) / 177

GCD(1, 177) = 177 / 177

GCD(1, 177) = 1

GCD of 942, 909, 71, 177 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 932, 204, 62, 586
• GCD of 311, 587, 77, 758
• GCD of 507, 464, 92, 204
• GCD of 771, 393, 14, 904
• GCD of 360, 641, 32, 810

1. What is the GCD of 942, 909, 71, 177?

GCD of 942, 909, 71, 177 is 1

2. Where do I get the detailed procedure to find GCD of 942, 909, 71, 177?

You can find a detailed procedure to find GCD of 942, 909, 71, 177 on our page.

3. How to find GCD of 942, 909, 71, 177 on a calculator?

You can find the GCD of 942, 909, 71, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.