GCD of 125, 343, 505, 533 Calculator

Given Input numbers are 125, 343, 505, 533

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

Divisors of 125

List of positive integer divisors of 125 that divides 125 without a remainder.

1, 5, 25, 125

Divisors of 343

List of positive integer divisors of 343 that divides 343 without a remainder.

1, 7, 49, 343

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 533

List of positive integer divisors of 533 that divides 533 without a remainder.

1, 13, 41, 533

Greatest Common Divisior

We found the divisors of 125, 343, 505, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 343, 505, 533 is 1.

Therefore, GCD of numbers 125, 343, 505, 533 is 1

Given Input Data is 125, 343, 505, 533

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

Prime Factorization of 125 is 5 x 5 x 5

Prime Factorization of 343 is 7 x 7 x 7

Prime Factorization of 505 is 5 x 101

Prime Factorization of 533 is 13 x 41

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(125, 343) = 42875

GCD(125, 343) = ( 125 x 343 ) / 42875

GCD(125, 343) = 42875 / 42875

GCD(125, 343) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 505

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

LCM(1, 505) = 505

GCD(1, 505) = ( 1 x 505 ) / 505

GCD(1, 505) = 505 / 505

GCD(1, 505) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 533

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

LCM(1, 533) = 533

GCD(1, 533) = ( 1 x 533 ) / 533

GCD(1, 533) = 533 / 533

GCD(1, 533) = 1

GCD of 125, 343, 505, 533 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 125, 699, 818, 306
• GCD of 393, 645, 479, 218
• GCD of 514, 813, 225, 311
• GCD of 546, 302, 269, 995
• GCD of 344, 572, 700, 409

1. What is the GCD of 125, 343, 505, 533?

GCD of 125, 343, 505, 533 is 1

2. Where do I get the detailed procedure to find GCD of 125, 343, 505, 533?

You can find a detailed procedure to find GCD of 125, 343, 505, 533 on our page.

3. How to find GCD of 125, 343, 505, 533 on a calculator?

You can find the GCD of 125, 343, 505, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.