GCD of 762, 537, 42, 549 Calculator

Given Input numbers are 762, 537, 42, 549

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

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 537

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

1, 3, 179, 537

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Greatest Common Divisior

We found the divisors of 762, 537, 42, 549 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 537, 42, 549 is 3.

Therefore, GCD of numbers 762, 537, 42, 549 is 3

Given Input Data is 762, 537, 42, 549

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 537 is 3 x 179

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 549 is 3 x 3 x 61

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(762, 537) = 136398

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

GCD(762, 537) = 409194 / 136398

GCD(762, 537) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 42

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

LCM(3, 42) = 42

GCD(3, 42) = ( 3 x 42 ) / 42

GCD(3, 42) = 126 / 42

GCD(3, 42) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 549

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

LCM(3, 549) = 549

GCD(3, 549) = ( 3 x 549 ) / 549

GCD(3, 549) = 1647 / 549

GCD(3, 549) = 3

GCD of 762, 537, 42, 549 is 3

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1. What is the GCD of 762, 537, 42, 549?

GCD of 762, 537, 42, 549 is 3

2. Where do I get the detailed procedure to find GCD of 762, 537, 42, 549?

You can find a detailed procedure to find GCD of 762, 537, 42, 549 on our page.

3. How to find GCD of 762, 537, 42, 549 on a calculator?

You can find the GCD of 762, 537, 42, 549 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.