GCD of 125, 362, 220, 547 Calculator

Given Input numbers are 125, 362, 220, 547

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 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Greatest Common Divisior

We found the divisors of 125, 362, 220, 547 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 362, 220, 547 is 1.

Therefore, GCD of numbers 125, 362, 220, 547 is 1

Given Input Data is 125, 362, 220, 547

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 362 is 2 x 181

Prime Factorization of 220 is 2 x 2 x 5 x 11

Prime Factorization of 547 is 547

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, 362) = 45250

GCD(125, 362) = ( 125 x 362 ) / 45250

GCD(125, 362) = 45250 / 45250

GCD(125, 362) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 547

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

LCM(1, 547) = 547

GCD(1, 547) = ( 1 x 547 ) / 547

GCD(1, 547) = 547 / 547

GCD(1, 547) = 1

GCD of 125, 362, 220, 547 is 1

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1. What is the GCD of 125, 362, 220, 547?

GCD of 125, 362, 220, 547 is 1

2. Where do I get the detailed procedure to find GCD of 125, 362, 220, 547?

You can find a detailed procedure to find GCD of 125, 362, 220, 547 on our page.

3. How to find GCD of 125, 362, 220, 547 on a calculator?

You can find the GCD of 125, 362, 220, 547 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.