GCD of 537, 762, 25, 149 Calculator

Given Input numbers are 537, 762, 25, 149

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

Divisors of 537

List of positive integer divisors of 537 that divides 537 without a remainder.

1, 3, 179, 537

Divisors of 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 25

List of positive integer divisors of 25 that divides 25 without a remainder.

1, 5, 25

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 537, 762, 25, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 537, 762, 25, 149 is 1.

Therefore, GCD of numbers 537, 762, 25, 149 is 1

Given Input Data is 537, 762, 25, 149

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

Prime Factorization of 537 is 3 x 179

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 25 is 5 x 5

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(537, 762) = 136398

GCD(537, 762) = ( 537 x 762 ) / 136398

GCD(537, 762) = 409194 / 136398

GCD(537, 762) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 25

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

LCM(3, 25) = 75

GCD(3, 25) = ( 3 x 25 ) / 75

GCD(3, 25) = 75 / 75

GCD(3, 25) = 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 537, 762, 25, 149 is 1

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1. What is the GCD of 537, 762, 25, 149?

GCD of 537, 762, 25, 149 is 1

2. Where do I get the detailed procedure to find GCD of 537, 762, 25, 149?

You can find a detailed procedure to find GCD of 537, 762, 25, 149 on our page.

3. How to find GCD of 537, 762, 25, 149 on a calculator?

You can find the GCD of 537, 762, 25, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.