GCD of 742, 505, 466 Calculator

Given Input numbers are 742, 505, 466

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 505

List of positive integer divisors of 505 that divides 505 without a remainder.

1, 5, 101, 505

Divisors of 466

List of positive integer divisors of 466 that divides 466 without a remainder.

1, 2, 233, 466

Greatest Common Divisior

We found the divisors of 742, 505, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 505, 466 is 1.

Therefore, GCD of numbers 742, 505, 466 is 1

Given Input Data is 742, 505, 466

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 505 is 5 x 101

Prime Factorization of 466 is 2 x 233

The above numbers do not have any common prime factor. So GCD is 1

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(742, 505) = 374710

GCD(742, 505) = ( 742 x 505 ) / 374710

GCD(742, 505) = 374710 / 374710

GCD(742, 505) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 466

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

LCM(1, 466) = 466

GCD(1, 466) = ( 1 x 466 ) / 466

GCD(1, 466) = 466 / 466

GCD(1, 466) = 1

GCD of 742, 505, 466 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 441, 168
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• GCD of 985, 208, 659
• GCD of 371, 913, 743

1. What is the GCD of 742, 505, 466?

GCD of 742, 505, 466 is 1

2. Where do I get the detailed procedure to find GCD of 742, 505, 466?

You can find a detailed procedure to find GCD of 742, 505, 466 on our page.

3. How to find GCD of 742, 505, 466 on a calculator?

You can find the GCD of 742, 505, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.