GCD of 618, 754, 74, 792 Calculator

Given Input numbers are 618, 754, 74, 792

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

Divisors of 618

List of positive integer divisors of 618 that divides 618 without a remainder.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Greatest Common Divisior

We found the divisors of 618, 754, 74, 792 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 618, 754, 74, 792 is 2.

Therefore, GCD of numbers 618, 754, 74, 792 is 2

Given Input Data is 618, 754, 74, 792

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

Prime Factorization of 618 is 2 x 3 x 103

Prime Factorization of 754 is 2 x 13 x 29

Prime Factorization of 74 is 2 x 37

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(618, 754) = 232986

GCD(618, 754) = ( 618 x 754 ) / 232986

GCD(618, 754) = 465972 / 232986

GCD(618, 754) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 792

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

LCM(2, 792) = 792

GCD(2, 792) = ( 2 x 792 ) / 792

GCD(2, 792) = 1584 / 792

GCD(2, 792) = 2

GCD of 618, 754, 74, 792 is 2

Here are some samples of GCD of Numbers calculations.

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• GCD of 486, 465, 43, 693

1. What is the GCD of 618, 754, 74, 792?

GCD of 618, 754, 74, 792 is 2

2. Where do I get the detailed procedure to find GCD of 618, 754, 74, 792?

You can find a detailed procedure to find GCD of 618, 754, 74, 792 on our page.

3. How to find GCD of 618, 754, 74, 792 on a calculator?

You can find the GCD of 618, 754, 74, 792 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.