GCD of 10, 958, 581, 541 Calculator

Given Input numbers are 10, 958, 581, 541

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 581

List of positive integer divisors of 581 that divides 581 without a remainder.

1, 7, 83, 581

Divisors of 541

List of positive integer divisors of 541 that divides 541 without a remainder.

1, 541

Greatest Common Divisior

We found the divisors of 10, 958, 581, 541 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 958, 581, 541 is 1.

Therefore, GCD of numbers 10, 958, 581, 541 is 1

Given Input Data is 10, 958, 581, 541

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 958 is 2 x 479

Prime Factorization of 581 is 7 x 83

Prime Factorization of 541 is 541

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(10, 958) = 4790

GCD(10, 958) = ( 10 x 958 ) / 4790

GCD(10, 958) = 9580 / 4790

GCD(10, 958) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 581

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

LCM(2, 581) = 1162

GCD(2, 581) = ( 2 x 581 ) / 1162

GCD(2, 581) = 1162 / 1162

GCD(2, 581) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 541

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

LCM(1, 541) = 541

GCD(1, 541) = ( 1 x 541 ) / 541

GCD(1, 541) = 541 / 541

GCD(1, 541) = 1

GCD of 10, 958, 581, 541 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 28, 502, 228, 564
• GCD of 62, 939, 414, 224
• GCD of 81, 577, 749, 360
• GCD of 27, 587, 642, 974
• GCD of 90, 779, 359, 389

1. What is the GCD of 10, 958, 581, 541?

GCD of 10, 958, 581, 541 is 1

2. Where do I get the detailed procedure to find GCD of 10, 958, 581, 541?

You can find a detailed procedure to find GCD of 10, 958, 581, 541 on our page.

3. How to find GCD of 10, 958, 581, 541 on a calculator?

You can find the GCD of 10, 958, 581, 541 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.