GCD of 677, 740, 257 Calculator

Given Input numbers are 677, 740, 257

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

Divisors of 677

List of positive integer divisors of 677 that divides 677 without a remainder.

1, 677

Divisors of 740

List of positive integer divisors of 740 that divides 740 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 257

List of positive integer divisors of 257 that divides 257 without a remainder.

1, 257

Greatest Common Divisior

We found the divisors of 677, 740, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 677, 740, 257 is 1.

Therefore, GCD of numbers 677, 740, 257 is 1

Given Input Data is 677, 740, 257

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

Prime Factorization of 677 is 677

Prime Factorization of 740 is 2 x 2 x 5 x 37

Prime Factorization of 257 is 257

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(677, 740) = 500980

GCD(677, 740) = ( 677 x 740 ) / 500980

GCD(677, 740) = 500980 / 500980

GCD(677, 740) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 257

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

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

GCD(1, 257) = 257 / 257

GCD(1, 257) = 1

GCD of 677, 740, 257 is 1

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1. What is the GCD of 677, 740, 257?

GCD of 677, 740, 257 is 1

2. Where do I get the detailed procedure to find GCD of 677, 740, 257?

You can find a detailed procedure to find GCD of 677, 740, 257 on our page.

3. How to find GCD of 677, 740, 257 on a calculator?

You can find the GCD of 677, 740, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.