GCD of 15, 821, 554, 948 Calculator

Given Input numbers are 15, 821, 554, 948

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

Divisors of 15

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

1, 3, 5, 15

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Greatest Common Divisior

We found the divisors of 15, 821, 554, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 15, 821, 554, 948 is 1.

Therefore, GCD of numbers 15, 821, 554, 948 is 1

Given Input Data is 15, 821, 554, 948

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

Prime Factorization of 15 is 3 x 5

Prime Factorization of 821 is 821

Prime Factorization of 554 is 2 x 277

Prime Factorization of 948 is 2 x 2 x 3 x 79

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(15, 821) = 12315

GCD(15, 821) = ( 15 x 821 ) / 12315

GCD(15, 821) = 12315 / 12315

GCD(15, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 554

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

LCM(1, 554) = 554

GCD(1, 554) = ( 1 x 554 ) / 554

GCD(1, 554) = 554 / 554

GCD(1, 554) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 948

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

LCM(1, 948) = 948

GCD(1, 948) = ( 1 x 948 ) / 948

GCD(1, 948) = 948 / 948

GCD(1, 948) = 1

GCD of 15, 821, 554, 948 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 67, 925, 114, 876
• GCD of 51, 236, 474, 678
• GCD of 29, 296, 427, 898
• GCD of 83, 927, 753, 631
• GCD of 74, 223, 522, 435

1. What is the GCD of 15, 821, 554, 948?

GCD of 15, 821, 554, 948 is 1

2. Where do I get the detailed procedure to find GCD of 15, 821, 554, 948?

You can find a detailed procedure to find GCD of 15, 821, 554, 948 on our page.

3. How to find GCD of 15, 821, 554, 948 on a calculator?

You can find the GCD of 15, 821, 554, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.