GCD of 941, 658, 15, 900 Calculator

Given Input numbers are 941, 658, 15, 900

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

Divisors of 941

List of positive integer divisors of 941 that divides 941 without a remainder.

1, 941

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 900

List of positive integer divisors of 900 that divides 900 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Greatest Common Divisior

We found the divisors of 941, 658, 15, 900 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 941, 658, 15, 900 is 1.

Therefore, GCD of numbers 941, 658, 15, 900 is 1

Given Input Data is 941, 658, 15, 900

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

Prime Factorization of 941 is 941

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 15 is 3 x 5

Prime Factorization of 900 is 2 x 2 x 3 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(941, 658) = 619178

GCD(941, 658) = ( 941 x 658 ) / 619178

GCD(941, 658) = 619178 / 619178

GCD(941, 658) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 900

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

LCM(1, 900) = 900

GCD(1, 900) = ( 1 x 900 ) / 900

GCD(1, 900) = 900 / 900

GCD(1, 900) = 1

GCD of 941, 658, 15, 900 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 689, 57, 453
• GCD of 940, 817, 53, 361
• GCD of 228, 161, 26, 936
• GCD of 450, 598, 87, 583
• GCD of 502, 393, 80, 932

1. What is the GCD of 941, 658, 15, 900?

GCD of 941, 658, 15, 900 is 1

2. Where do I get the detailed procedure to find GCD of 941, 658, 15, 900?

You can find a detailed procedure to find GCD of 941, 658, 15, 900 on our page.

3. How to find GCD of 941, 658, 15, 900 on a calculator?

You can find the GCD of 941, 658, 15, 900 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.