GCD of 762, 702, 38, 558 Calculator

Given Input numbers are 762, 702, 38, 558

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 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 762, 702, 38, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 702, 38, 558 is 2.

Therefore, GCD of numbers 762, 702, 38, 558 is 2

Given Input Data is 762, 702, 38, 558

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 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 38 is 2 x 19

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(762, 702) = 89154

GCD(762, 702) = ( 762 x 702 ) / 89154

GCD(762, 702) = 534924 / 89154

GCD(762, 702) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 38

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

LCM(6, 38) = 114

GCD(6, 38) = ( 6 x 38 ) / 114

GCD(6, 38) = 228 / 114

GCD(6, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 558

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

LCM(2, 558) = 558

GCD(2, 558) = ( 2 x 558 ) / 558

GCD(2, 558) = 1116 / 558

GCD(2, 558) = 2

GCD of 762, 702, 38, 558 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 349, 201, 43, 133
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• GCD of 289, 140, 63, 230

1. What is the GCD of 762, 702, 38, 558?

GCD of 762, 702, 38, 558 is 2

2. Where do I get the detailed procedure to find GCD of 762, 702, 38, 558?

You can find a detailed procedure to find GCD of 762, 702, 38, 558 on our page.

3. How to find GCD of 762, 702, 38, 558 on a calculator?

You can find the GCD of 762, 702, 38, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.