GCD of 761, 240, 457 Calculator

Given Input numbers are 761, 240, 457

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

Divisors of 761

List of positive integer divisors of 761 that divides 761 without a remainder.

1, 761

Divisors of 240

List of positive integer divisors of 240 that divides 240 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 457

List of positive integer divisors of 457 that divides 457 without a remainder.

1, 457

Greatest Common Divisior

We found the divisors of 761, 240, 457 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 761, 240, 457 is 1.

Therefore, GCD of numbers 761, 240, 457 is 1

Given Input Data is 761, 240, 457

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

Prime Factorization of 761 is 761

Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 457 is 457

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(761, 240) = 182640

GCD(761, 240) = ( 761 x 240 ) / 182640

GCD(761, 240) = 182640 / 182640

GCD(761, 240) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 457

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

LCM(1, 457) = 457

GCD(1, 457) = ( 1 x 457 ) / 457

GCD(1, 457) = 457 / 457

GCD(1, 457) = 1

GCD of 761, 240, 457 is 1

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1. What is the GCD of 761, 240, 457?

GCD of 761, 240, 457 is 1

2. Where do I get the detailed procedure to find GCD of 761, 240, 457?

You can find a detailed procedure to find GCD of 761, 240, 457 on our page.

3. How to find GCD of 761, 240, 457 on a calculator?

You can find the GCD of 761, 240, 457 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.