GCD of 764, 610, 685, 257 Calculator

Given Input numbers are 764, 610, 685, 257

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

Divisors of 764

List of positive integer divisors of 764 that divides 764 without a remainder.

1, 2, 4, 191, 382, 764

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 685

List of positive integer divisors of 685 that divides 685 without a remainder.

1, 5, 137, 685

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 764, 610, 685, 257 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 764, 610, 685, 257 is 1.

Therefore, GCD of numbers 764, 610, 685, 257 is 1

Given Input Data is 764, 610, 685, 257

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

Prime Factorization of 764 is 2 x 2 x 191

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 685 is 5 x 137

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(764, 610) = 233020

GCD(764, 610) = ( 764 x 610 ) / 233020

GCD(764, 610) = 466040 / 233020

GCD(764, 610) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 685

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

LCM(2, 685) = 1370

GCD(2, 685) = ( 2 x 685 ) / 1370

GCD(2, 685) = 1370 / 1370

GCD(2, 685) = 1

Step3:

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 764, 610, 685, 257 is 1

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1. What is the GCD of 764, 610, 685, 257?

GCD of 764, 610, 685, 257 is 1

2. Where do I get the detailed procedure to find GCD of 764, 610, 685, 257?

You can find a detailed procedure to find GCD of 764, 610, 685, 257 on our page.

3. How to find GCD of 764, 610, 685, 257 on a calculator?

You can find the GCD of 764, 610, 685, 257 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.