GCD of 746, 542, 53, 150 Calculator

Given Input numbers are 746, 542, 53, 150

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

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 542

List of positive integer divisors of 542 that divides 542 without a remainder.

1, 2, 271, 542

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Divisors of 150

List of positive integer divisors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Greatest Common Divisior

We found the divisors of 746, 542, 53, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 746, 542, 53, 150 is 1.

Therefore, GCD of numbers 746, 542, 53, 150 is 1

Given Input Data is 746, 542, 53, 150

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

Prime Factorization of 746 is 2 x 373

Prime Factorization of 542 is 2 x 271

Prime Factorization of 53 is 53

Prime Factorization of 150 is 2 x 3 x 5 x 5

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(746, 542) = 202166

GCD(746, 542) = ( 746 x 542 ) / 202166

GCD(746, 542) = 404332 / 202166

GCD(746, 542) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 53

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

LCM(2, 53) = 106

GCD(2, 53) = ( 2 x 53 ) / 106

GCD(2, 53) = 106 / 106

GCD(2, 53) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 150

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

LCM(1, 150) = 150

GCD(1, 150) = ( 1 x 150 ) / 150

GCD(1, 150) = 150 / 150

GCD(1, 150) = 1

GCD of 746, 542, 53, 150 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 542, 236, 50, 473
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• GCD of 633, 966, 54, 101

1. What is the GCD of 746, 542, 53, 150?

GCD of 746, 542, 53, 150 is 1

2. Where do I get the detailed procedure to find GCD of 746, 542, 53, 150?

You can find a detailed procedure to find GCD of 746, 542, 53, 150 on our page.

3. How to find GCD of 746, 542, 53, 150 on a calculator?

You can find the GCD of 746, 542, 53, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.