GCD of 513, 525, 832, 958 Calculator

Given Input numbers are 513, 525, 832, 958

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

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

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 832

List of positive integer divisors of 832 that divides 832 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 958

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

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 513, 525, 832, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 513, 525, 832, 958 is 1.

Therefore, GCD of numbers 513, 525, 832, 958 is 1

Given Input Data is 513, 525, 832, 958

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

Prime Factorization of 513 is 3 x 3 x 3 x 19

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

Prime Factorization of 832 is 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime Factorization of 958 is 2 x 479

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(513, 525) = 89775

GCD(513, 525) = ( 513 x 525 ) / 89775

GCD(513, 525) = 269325 / 89775

GCD(513, 525) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 832

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

LCM(3, 832) = 2496

GCD(3, 832) = ( 3 x 832 ) / 2496

GCD(3, 832) = 2496 / 2496

GCD(3, 832) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 513, 525, 832, 958 is 1

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1. What is the GCD of 513, 525, 832, 958?

GCD of 513, 525, 832, 958 is 1

2. Where do I get the detailed procedure to find GCD of 513, 525, 832, 958?

You can find a detailed procedure to find GCD of 513, 525, 832, 958 on our page.

3. How to find GCD of 513, 525, 832, 958 on a calculator?

You can find the GCD of 513, 525, 832, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.