GCD of 548, 880, 26, 956 Calculator

Given Input numbers are 548, 880, 26, 956

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

Divisors of 548

List of positive integer divisors of 548 that divides 548 without a remainder.

1, 2, 4, 137, 274, 548

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 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 548, 880, 26, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 880, 26, 956 is 2.

Therefore, GCD of numbers 548, 880, 26, 956 is 2

Given Input Data is 548, 880, 26, 956

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

Prime Factorization of 548 is 2 x 2 x 137

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

Prime Factorization of 26 is 2 x 13

Prime Factorization of 956 is 2 x 2 x 239

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(548, 880) = 120560

GCD(548, 880) = ( 548 x 880 ) / 120560

GCD(548, 880) = 482240 / 120560

GCD(548, 880) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 26

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

LCM(4, 26) = 52

GCD(4, 26) = ( 4 x 26 ) / 52

GCD(4, 26) = 104 / 52

GCD(4, 26) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

GCD of 548, 880, 26, 956 is 2

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1. What is the GCD of 548, 880, 26, 956?

GCD of 548, 880, 26, 956 is 2

2. Where do I get the detailed procedure to find GCD of 548, 880, 26, 956?

You can find a detailed procedure to find GCD of 548, 880, 26, 956 on our page.

3. How to find GCD of 548, 880, 26, 956 on a calculator?

You can find the GCD of 548, 880, 26, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.