GCD of 417, 138, 90, 771 Calculator

Given Input numbers are 417, 138, 90, 771

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

Divisors of 417

List of positive integer divisors of 417 that divides 417 without a remainder.

1, 3, 139, 417

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

Greatest Common Divisior

We found the divisors of 417, 138, 90, 771 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 417, 138, 90, 771 is 3.

Therefore, GCD of numbers 417, 138, 90, 771 is 3

Given Input Data is 417, 138, 90, 771

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

Prime Factorization of 417 is 3 x 139

Prime Factorization of 138 is 2 x 3 x 23

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 771 is 3 x 257

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(417, 138) = 19182

GCD(417, 138) = ( 417 x 138 ) / 19182

GCD(417, 138) = 57546 / 19182

GCD(417, 138) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 90

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

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

GCD(3, 90) = 270 / 90

GCD(3, 90) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 771

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

LCM(3, 771) = 771

GCD(3, 771) = ( 3 x 771 ) / 771

GCD(3, 771) = 2313 / 771

GCD(3, 771) = 3

GCD of 417, 138, 90, 771 is 3

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1. What is the GCD of 417, 138, 90, 771?

GCD of 417, 138, 90, 771 is 3

2. Where do I get the detailed procedure to find GCD of 417, 138, 90, 771?

You can find a detailed procedure to find GCD of 417, 138, 90, 771 on our page.

3. How to find GCD of 417, 138, 90, 771 on a calculator?

You can find the GCD of 417, 138, 90, 771 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.