GCD of 148, 742, 65, 533 Calculator

Given Input numbers are 148, 742, 65, 533

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

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 65

List of positive integer divisors of 65 that divides 65 without a remainder.

1, 5, 13, 65

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 148, 742, 65, 533 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 742, 65, 533 is 1.

Therefore, GCD of numbers 148, 742, 65, 533 is 1

Given Input Data is 148, 742, 65, 533

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

Prime Factorization of 148 is 2 x 2 x 37

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 65 is 5 x 13

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(148, 742) = 54908

GCD(148, 742) = ( 148 x 742 ) / 54908

GCD(148, 742) = 109816 / 54908

GCD(148, 742) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 65

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

LCM(2, 65) = 130

GCD(2, 65) = ( 2 x 65 ) / 130

GCD(2, 65) = 130 / 130

GCD(2, 65) = 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 148, 742, 65, 533 is 1

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• GCD of 109, 566, 95, 804
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1. What is the GCD of 148, 742, 65, 533?

GCD of 148, 742, 65, 533 is 1

2. Where do I get the detailed procedure to find GCD of 148, 742, 65, 533?

You can find a detailed procedure to find GCD of 148, 742, 65, 533 on our page.

3. How to find GCD of 148, 742, 65, 533 on a calculator?

You can find the GCD of 148, 742, 65, 533 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.