GCD of 525, 980, 946, 581 Calculator

Given Input numbers are 525, 980, 946, 581

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

Divisors of 525

List of positive integer divisors of 525 that divides 525 without a remainder.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 980

List of positive integer divisors of 980 that divides 980 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 581

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

1, 7, 83, 581

Greatest Common Divisior

We found the divisors of 525, 980, 946, 581 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 525, 980, 946, 581 is 1.

Therefore, GCD of numbers 525, 980, 946, 581 is 1

Given Input Data is 525, 980, 946, 581

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

Prime Factorization of 525 is 3 x 5 x 5 x 7

Prime Factorization of 980 is 2 x 2 x 5 x 7 x 7

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 581 is 7 x 83

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(525, 980) = 14700

GCD(525, 980) = ( 525 x 980 ) / 14700

GCD(525, 980) = 514500 / 14700

GCD(525, 980) = 35

Step2:

Here we consider the GCD from the above i.e. 35 as first number and the next as 946

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

LCM(35, 946) = 33110

GCD(35, 946) = ( 35 x 946 ) / 33110

GCD(35, 946) = 33110 / 33110

GCD(35, 946) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 581

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

LCM(1, 581) = 581

GCD(1, 581) = ( 1 x 581 ) / 581

GCD(1, 581) = 581 / 581

GCD(1, 581) = 1

GCD of 525, 980, 946, 581 is 1

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1. What is the GCD of 525, 980, 946, 581?

GCD of 525, 980, 946, 581 is 1

2. Where do I get the detailed procedure to find GCD of 525, 980, 946, 581?

You can find a detailed procedure to find GCD of 525, 980, 946, 581 on our page.

3. How to find GCD of 525, 980, 946, 581 on a calculator?

You can find the GCD of 525, 980, 946, 581 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.