GCD of 428, 689, 919, 857 Calculator

Given Input numbers are 428, 689, 919, 857

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 857

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

1, 857

Greatest Common Divisior

We found the divisors of 428, 689, 919, 857 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 689, 919, 857 is 1.

Therefore, GCD of numbers 428, 689, 919, 857 is 1

Given Input Data is 428, 689, 919, 857

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 689 is 13 x 53

Prime Factorization of 919 is 919

Prime Factorization of 857 is 857

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(428, 689) = 294892

GCD(428, 689) = ( 428 x 689 ) / 294892

GCD(428, 689) = 294892 / 294892

GCD(428, 689) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

Step3:

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

GCD of 428, 689, 919, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 464, 964, 306, 506
• GCD of 235, 933, 119, 424
• GCD of 822, 658, 622, 417
• GCD of 283, 271, 322, 624
• GCD of 558, 470, 821, 506

1. What is the GCD of 428, 689, 919, 857?

GCD of 428, 689, 919, 857 is 1

2. Where do I get the detailed procedure to find GCD of 428, 689, 919, 857?

You can find a detailed procedure to find GCD of 428, 689, 919, 857 on our page.

3. How to find GCD of 428, 689, 919, 857 on a calculator?

You can find the GCD of 428, 689, 919, 857 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.