GCD of 757, 256, 857, 690 Calculator

Given Input numbers are 757, 256, 857, 690

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

Divisors of 757

List of positive integer divisors of 757 that divides 757 without a remainder.

1, 757

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 857

List of positive integer divisors of 857 that divides 857 without a remainder.

1, 857

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 757, 256, 857, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 757, 256, 857, 690 is 1.

Therefore, GCD of numbers 757, 256, 857, 690 is 1

Given Input Data is 757, 256, 857, 690

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

Prime Factorization of 757 is 757

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 857 is 857

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(757, 256) = 193792

GCD(757, 256) = ( 757 x 256 ) / 193792

GCD(757, 256) = 193792 / 193792

GCD(757, 256) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 857

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

LCM(1, 857) = 857

GCD(1, 857) = ( 1 x 857 ) / 857

GCD(1, 857) = 857 / 857

GCD(1, 857) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 757, 256, 857, 690 is 1

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1. What is the GCD of 757, 256, 857, 690?

GCD of 757, 256, 857, 690 is 1

2. Where do I get the detailed procedure to find GCD of 757, 256, 857, 690?

You can find a detailed procedure to find GCD of 757, 256, 857, 690 on our page.

3. How to find GCD of 757, 256, 857, 690 on a calculator?

You can find the GCD of 757, 256, 857, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.