GCD of 880, 532, 56, 342 Calculator

Given Input numbers are 880, 532, 56, 342

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 532

List of positive integer divisors of 532 that divides 532 without a remainder.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 342

List of positive integer divisors of 342 that divides 342 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Greatest Common Divisior

We found the divisors of 880, 532, 56, 342 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 532, 56, 342 is 2.

Therefore, GCD of numbers 880, 532, 56, 342 is 2

Given Input Data is 880, 532, 56, 342

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 532 is 2 x 2 x 7 x 19

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 342 is 2 x 3 x 3 x 19

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, 532) = 117040

GCD(880, 532) = ( 880 x 532 ) / 117040

GCD(880, 532) = 468160 / 117040

GCD(880, 532) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 56

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

LCM(4, 56) = 56

GCD(4, 56) = ( 4 x 56 ) / 56

GCD(4, 56) = 224 / 56

GCD(4, 56) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 342

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

LCM(4, 342) = 684

GCD(4, 342) = ( 4 x 342 ) / 684

GCD(4, 342) = 1368 / 684

GCD(4, 342) = 2

GCD of 880, 532, 56, 342 is 2

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1. What is the GCD of 880, 532, 56, 342?

GCD of 880, 532, 56, 342 is 2

2. Where do I get the detailed procedure to find GCD of 880, 532, 56, 342?

You can find a detailed procedure to find GCD of 880, 532, 56, 342 on our page.

3. How to find GCD of 880, 532, 56, 342 on a calculator?

You can find the GCD of 880, 532, 56, 342 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.