GCD of 958, 507, 74, 561 Calculator

Given Input numbers are 958, 507, 74, 561

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

Divisors of 958

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

1, 2, 479, 958

Divisors of 507

List of positive integer divisors of 507 that divides 507 without a remainder.

1, 3, 13, 39, 169, 507

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 561

List of positive integer divisors of 561 that divides 561 without a remainder.

1, 3, 11, 17, 33, 51, 187, 561

Greatest Common Divisior

We found the divisors of 958, 507, 74, 561 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 958, 507, 74, 561 is 1.

Therefore, GCD of numbers 958, 507, 74, 561 is 1

Given Input Data is 958, 507, 74, 561

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

Prime Factorization of 958 is 2 x 479

Prime Factorization of 507 is 3 x 13 x 13

Prime Factorization of 74 is 2 x 37

Prime Factorization of 561 is 3 x 11 x 17

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(958, 507) = 485706

GCD(958, 507) = ( 958 x 507 ) / 485706

GCD(958, 507) = 485706 / 485706

GCD(958, 507) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 561

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

LCM(1, 561) = 561

GCD(1, 561) = ( 1 x 561 ) / 561

GCD(1, 561) = 561 / 561

GCD(1, 561) = 1

GCD of 958, 507, 74, 561 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 433, 59, 586
• GCD of 695, 758, 22, 392
• GCD of 741, 465, 28, 385
• GCD of 995, 496, 97, 437
• GCD of 781, 558, 25, 144

1. What is the GCD of 958, 507, 74, 561?

GCD of 958, 507, 74, 561 is 1

2. Where do I get the detailed procedure to find GCD of 958, 507, 74, 561?

You can find a detailed procedure to find GCD of 958, 507, 74, 561 on our page.

3. How to find GCD of 958, 507, 74, 561 on a calculator?

You can find the GCD of 958, 507, 74, 561 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.