GCD of 653, 225, 501, 949 Calculator

Given Input numbers are 653, 225, 501, 949

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

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 225

List of positive integer divisors of 225 that divides 225 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 949

List of positive integer divisors of 949 that divides 949 without a remainder.

1, 13, 73, 949

Greatest Common Divisior

We found the divisors of 653, 225, 501, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 653, 225, 501, 949 is 1.

Therefore, GCD of numbers 653, 225, 501, 949 is 1

Given Input Data is 653, 225, 501, 949

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

Prime Factorization of 653 is 653

Prime Factorization of 225 is 3 x 3 x 5 x 5

Prime Factorization of 501 is 3 x 167

Prime Factorization of 949 is 13 x 73

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(653, 225) = 146925

GCD(653, 225) = ( 653 x 225 ) / 146925

GCD(653, 225) = 146925 / 146925

GCD(653, 225) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 501

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

LCM(1, 501) = 501

GCD(1, 501) = ( 1 x 501 ) / 501

GCD(1, 501) = 501 / 501

GCD(1, 501) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 949

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

LCM(1, 949) = 949

GCD(1, 949) = ( 1 x 949 ) / 949

GCD(1, 949) = 949 / 949

GCD(1, 949) = 1

GCD of 653, 225, 501, 949 is 1

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1. What is the GCD of 653, 225, 501, 949?

GCD of 653, 225, 501, 949 is 1

2. Where do I get the detailed procedure to find GCD of 653, 225, 501, 949?

You can find a detailed procedure to find GCD of 653, 225, 501, 949 on our page.

3. How to find GCD of 653, 225, 501, 949 on a calculator?

You can find the GCD of 653, 225, 501, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.