GCD of 762, 933, 513, 414 Calculator

Given Input numbers are 762, 933, 513, 414

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 933

List of positive integer divisors of 933 that divides 933 without a remainder.

1, 3, 311, 933

Divisors of 513

List of positive integer divisors of 513 that divides 513 without a remainder.

1, 3, 9, 19, 27, 57, 171, 513

Divisors of 414

List of positive integer divisors of 414 that divides 414 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Greatest Common Divisior

We found the divisors of 762, 933, 513, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 933, 513, 414 is 3.

Therefore, GCD of numbers 762, 933, 513, 414 is 3

Given Input Data is 762, 933, 513, 414

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 933 is 3 x 311

Prime Factorization of 513 is 3 x 3 x 3 x 19

Prime Factorization of 414 is 2 x 3 x 3 x 23

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, 933) = 236982

GCD(762, 933) = ( 762 x 933 ) / 236982

GCD(762, 933) = 710946 / 236982

GCD(762, 933) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 513

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

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

GCD(3, 513) = 1539 / 513

GCD(3, 513) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 414

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

LCM(3, 414) = 414

GCD(3, 414) = ( 3 x 414 ) / 414

GCD(3, 414) = 1242 / 414

GCD(3, 414) = 3

GCD of 762, 933, 513, 414 is 3

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1. What is the GCD of 762, 933, 513, 414?

GCD of 762, 933, 513, 414 is 3

2. Where do I get the detailed procedure to find GCD of 762, 933, 513, 414?

You can find a detailed procedure to find GCD of 762, 933, 513, 414 on our page.

3. How to find GCD of 762, 933, 513, 414 on a calculator?

You can find the GCD of 762, 933, 513, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.