GCD of 117, 871, 632, 150 Calculator

Given Input numbers are 117, 871, 632, 150

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 117, 871, 632, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 871, 632, 150 is 1.

Therefore, GCD of numbers 117, 871, 632, 150 is 1

Given Input Data is 117, 871, 632, 150

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 871 is 13 x 67

Prime Factorization of 632 is 2 x 2 x 2 x 79

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(117, 871) = 7839

GCD(117, 871) = ( 117 x 871 ) / 7839

GCD(117, 871) = 101907 / 7839

GCD(117, 871) = 13

Step2:

Here we consider the GCD from the above i.e. 13 as first number and the next as 632

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

LCM(13, 632) = 8216

GCD(13, 632) = ( 13 x 632 ) / 8216

GCD(13, 632) = 8216 / 8216

GCD(13, 632) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 117, 871, 632, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 929, 314, 138, 290
• GCD of 120, 812, 116, 711
• GCD of 363, 850, 906, 479
• GCD of 854, 438, 735, 880
• GCD of 199, 732, 448, 307

1. What is the GCD of 117, 871, 632, 150?

GCD of 117, 871, 632, 150 is 1

2. Where do I get the detailed procedure to find GCD of 117, 871, 632, 150?

You can find a detailed procedure to find GCD of 117, 871, 632, 150 on our page.

3. How to find GCD of 117, 871, 632, 150 on a calculator?

You can find the GCD of 117, 871, 632, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.