GCD of 802, 690, 57, 908 Calculator

Given Input numbers are 802, 690, 57, 908

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

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 908

List of positive integer divisors of 908 that divides 908 without a remainder.

1, 2, 4, 227, 454, 908

Greatest Common Divisior

We found the divisors of 802, 690, 57, 908 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 802, 690, 57, 908 is 1.

Therefore, GCD of numbers 802, 690, 57, 908 is 1

Given Input Data is 802, 690, 57, 908

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

Prime Factorization of 802 is 2 x 401

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 908 is 2 x 2 x 227

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(802, 690) = 276690

GCD(802, 690) = ( 802 x 690 ) / 276690

GCD(802, 690) = 553380 / 276690

GCD(802, 690) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 908

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

LCM(1, 908) = 908

GCD(1, 908) = ( 1 x 908 ) / 908

GCD(1, 908) = 908 / 908

GCD(1, 908) = 1

GCD of 802, 690, 57, 908 is 1

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1. What is the GCD of 802, 690, 57, 908?

GCD of 802, 690, 57, 908 is 1

2. Where do I get the detailed procedure to find GCD of 802, 690, 57, 908?

You can find a detailed procedure to find GCD of 802, 690, 57, 908 on our page.

3. How to find GCD of 802, 690, 57, 908 on a calculator?

You can find the GCD of 802, 690, 57, 908 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.