GCD of 748, 887, 860, 657 Calculator

Given Input numbers are 748, 887, 860, 657

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 887

List of positive integer divisors of 887 that divides 887 without a remainder.

1, 887

Divisors of 860

List of positive integer divisors of 860 that divides 860 without a remainder.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Greatest Common Divisior

We found the divisors of 748, 887, 860, 657 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 748, 887, 860, 657 is 1.

Therefore, GCD of numbers 748, 887, 860, 657 is 1

Given Input Data is 748, 887, 860, 657

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 887 is 887

Prime Factorization of 860 is 2 x 2 x 5 x 43

Prime Factorization of 657 is 3 x 3 x 73

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(748, 887) = 663476

GCD(748, 887) = ( 748 x 887 ) / 663476

GCD(748, 887) = 663476 / 663476

GCD(748, 887) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 860

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

LCM(1, 860) = 860

GCD(1, 860) = ( 1 x 860 ) / 860

GCD(1, 860) = 860 / 860

GCD(1, 860) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

GCD of 748, 887, 860, 657 is 1

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1. What is the GCD of 748, 887, 860, 657?

GCD of 748, 887, 860, 657 is 1

2. Where do I get the detailed procedure to find GCD of 748, 887, 860, 657?

You can find a detailed procedure to find GCD of 748, 887, 860, 657 on our page.

3. How to find GCD of 748, 887, 860, 657 on a calculator?

You can find the GCD of 748, 887, 860, 657 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.