GCD of 753, 145, 73, 149 Calculator

Given Input numbers are 753, 145, 73, 149

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 149

List of positive integer divisors of 149 that divides 149 without a remainder.

1, 149

Greatest Common Divisior

We found the divisors of 753, 145, 73, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 145, 73, 149 is 1.

Therefore, GCD of numbers 753, 145, 73, 149 is 1

Given Input Data is 753, 145, 73, 149

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 145 is 5 x 29

Prime Factorization of 73 is 73

Prime Factorization of 149 is 149

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(753, 145) = 109185

GCD(753, 145) = ( 753 x 145 ) / 109185

GCD(753, 145) = 109185 / 109185

GCD(753, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 73

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

LCM(1, 73) = 73

GCD(1, 73) = ( 1 x 73 ) / 73

GCD(1, 73) = 73 / 73

GCD(1, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 149

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

LCM(1, 149) = 149

GCD(1, 149) = ( 1 x 149 ) / 149

GCD(1, 149) = 149 / 149

GCD(1, 149) = 1

GCD of 753, 145, 73, 149 is 1

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1. What is the GCD of 753, 145, 73, 149?

GCD of 753, 145, 73, 149 is 1

2. Where do I get the detailed procedure to find GCD of 753, 145, 73, 149?

You can find a detailed procedure to find GCD of 753, 145, 73, 149 on our page.

3. How to find GCD of 753, 145, 73, 149 on a calculator?

You can find the GCD of 753, 145, 73, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.