GCD of 300, 118, 957, 167 Calculator

Given Input numbers are 300, 118, 957, 167

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

Divisors of 300

List of positive integer divisors of 300 that divides 300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Divisors of 957

List of positive integer divisors of 957 that divides 957 without a remainder.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Greatest Common Divisior

We found the divisors of 300, 118, 957, 167 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 300, 118, 957, 167 is 1.

Therefore, GCD of numbers 300, 118, 957, 167 is 1

Given Input Data is 300, 118, 957, 167

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

Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5

Prime Factorization of 118 is 2 x 59

Prime Factorization of 957 is 3 x 11 x 29

Prime Factorization of 167 is 167

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(300, 118) = 17700

GCD(300, 118) = ( 300 x 118 ) / 17700

GCD(300, 118) = 35400 / 17700

GCD(300, 118) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 957

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

LCM(2, 957) = 1914

GCD(2, 957) = ( 2 x 957 ) / 1914

GCD(2, 957) = 1914 / 1914

GCD(2, 957) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 167

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

LCM(1, 167) = 167

GCD(1, 167) = ( 1 x 167 ) / 167

GCD(1, 167) = 167 / 167

GCD(1, 167) = 1

GCD of 300, 118, 957, 167 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 646, 653, 369
• GCD of 700, 164, 421, 542
• GCD of 997, 685, 256, 900
• GCD of 390, 701, 223, 970
• GCD of 705, 781, 698, 298

1. What is the GCD of 300, 118, 957, 167?

GCD of 300, 118, 957, 167 is 1

2. Where do I get the detailed procedure to find GCD of 300, 118, 957, 167?

You can find a detailed procedure to find GCD of 300, 118, 957, 167 on our page.

3. How to find GCD of 300, 118, 957, 167 on a calculator?

You can find the GCD of 300, 118, 957, 167 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.