GCD of 760, 298, 311, 467 Calculator

Given Input numbers are 760, 298, 311, 467

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

Divisors of 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Divisors of 298

List of positive integer divisors of 298 that divides 298 without a remainder.

1, 2, 149, 298

Divisors of 311

List of positive integer divisors of 311 that divides 311 without a remainder.

1, 311

Divisors of 467

List of positive integer divisors of 467 that divides 467 without a remainder.

1, 467

Greatest Common Divisior

We found the divisors of 760, 298, 311, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 298, 311, 467 is 1.

Therefore, GCD of numbers 760, 298, 311, 467 is 1

Given Input Data is 760, 298, 311, 467

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

Prime Factorization of 298 is 2 x 149

Prime Factorization of 311 is 311

Prime Factorization of 467 is 467

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(760, 298) = 113240

GCD(760, 298) = ( 760 x 298 ) / 113240

GCD(760, 298) = 226480 / 113240

GCD(760, 298) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 311

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

LCM(2, 311) = 622

GCD(2, 311) = ( 2 x 311 ) / 622

GCD(2, 311) = 622 / 622

GCD(2, 311) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 467

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

LCM(1, 467) = 467

GCD(1, 467) = ( 1 x 467 ) / 467

GCD(1, 467) = 467 / 467

GCD(1, 467) = 1

GCD of 760, 298, 311, 467 is 1

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1. What is the GCD of 760, 298, 311, 467?

GCD of 760, 298, 311, 467 is 1

2. Where do I get the detailed procedure to find GCD of 760, 298, 311, 467?

You can find a detailed procedure to find GCD of 760, 298, 311, 467 on our page.

3. How to find GCD of 760, 298, 311, 467 on a calculator?

You can find the GCD of 760, 298, 311, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.