GCD of 356, 470, 678, 880 Calculator

Given Input numbers are 356, 470, 678, 880

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

Divisors of 356

List of positive integer divisors of 356 that divides 356 without a remainder.

1, 2, 4, 89, 178, 356

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 678

List of positive integer divisors of 678 that divides 678 without a remainder.

1, 2, 3, 6, 113, 226, 339, 678

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

Greatest Common Divisior

We found the divisors of 356, 470, 678, 880 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 356, 470, 678, 880 is 2.

Therefore, GCD of numbers 356, 470, 678, 880 is 2

Given Input Data is 356, 470, 678, 880

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

Prime Factorization of 356 is 2 x 2 x 89

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 678 is 2 x 3 x 113

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

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(356, 470) = 83660

GCD(356, 470) = ( 356 x 470 ) / 83660

GCD(356, 470) = 167320 / 83660

GCD(356, 470) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 678

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

LCM(2, 678) = 678

GCD(2, 678) = ( 2 x 678 ) / 678

GCD(2, 678) = 1356 / 678

GCD(2, 678) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 880

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

LCM(2, 880) = 880

GCD(2, 880) = ( 2 x 880 ) / 880

GCD(2, 880) = 1760 / 880

GCD(2, 880) = 2

GCD of 356, 470, 678, 880 is 2

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1. What is the GCD of 356, 470, 678, 880?

GCD of 356, 470, 678, 880 is 2

2. Where do I get the detailed procedure to find GCD of 356, 470, 678, 880?

You can find a detailed procedure to find GCD of 356, 470, 678, 880 on our page.

3. How to find GCD of 356, 470, 678, 880 on a calculator?

You can find the GCD of 356, 470, 678, 880 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.