GCD of 153, 537, 993 Calculator

Given Input numbers are 153, 537, 993

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

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 537

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

1, 3, 179, 537

Divisors of 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Greatest Common Divisior

We found the divisors of 153, 537, 993 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 153, 537, 993 is 3.

Therefore, GCD of numbers 153, 537, 993 is 3

Given Input Data is 153, 537, 993

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

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 537 is 3 x 179

Prime Factorization of 993 is 3 x 331

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(153, 537) = 27387

GCD(153, 537) = ( 153 x 537 ) / 27387

GCD(153, 537) = 82161 / 27387

GCD(153, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 993

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

LCM(3, 993) = 993

GCD(3, 993) = ( 3 x 993 ) / 993

GCD(3, 993) = 2979 / 993

GCD(3, 993) = 3

GCD of 153, 537, 993 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 593, 737, 561
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• GCD of 410, 523, 449
• GCD of 611, 267, 408

1. What is the GCD of 153, 537, 993?

GCD of 153, 537, 993 is 3

2. Where do I get the detailed procedure to find GCD of 153, 537, 993?

You can find a detailed procedure to find GCD of 153, 537, 993 on our page.

3. How to find GCD of 153, 537, 993 on a calculator?

You can find the GCD of 153, 537, 993 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.