GCD of 880, 102, 78, 694 Calculator

Given Input numbers are 880, 102, 78, 694

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 880, 102, 78, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 102, 78, 694 is 2.

Therefore, GCD of numbers 880, 102, 78, 694 is 2

Given Input Data is 880, 102, 78, 694

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 78 is 2 x 3 x 13

Prime Factorization of 694 is 2 x 347

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(880, 102) = 44880

GCD(880, 102) = ( 880 x 102 ) / 44880

GCD(880, 102) = 89760 / 44880

GCD(880, 102) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 78

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

LCM(2, 78) = 78

GCD(2, 78) = ( 2 x 78 ) / 78

GCD(2, 78) = 156 / 78

GCD(2, 78) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 694

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

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

GCD(2, 694) = 1388 / 694

GCD(2, 694) = 2

GCD of 880, 102, 78, 694 is 2

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1. What is the GCD of 880, 102, 78, 694?

GCD of 880, 102, 78, 694 is 2

2. Where do I get the detailed procedure to find GCD of 880, 102, 78, 694?

You can find a detailed procedure to find GCD of 880, 102, 78, 694 on our page.

3. How to find GCD of 880, 102, 78, 694 on a calculator?

You can find the GCD of 880, 102, 78, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.