GCD of 548, 368, 954, 236 Calculator

Given Input numbers are 548, 368, 954, 236

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 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Greatest Common Divisior

We found the divisors of 548, 368, 954, 236 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 368, 954, 236 is 2.

Therefore, GCD of numbers 548, 368, 954, 236 is 2

Given Input Data is 548, 368, 954, 236

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 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 236 is 2 x 2 x 59

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, 368) = 50416

GCD(548, 368) = ( 548 x 368 ) / 50416

GCD(548, 368) = 201664 / 50416

GCD(548, 368) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 954

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

LCM(4, 954) = 1908

GCD(4, 954) = ( 4 x 954 ) / 1908

GCD(4, 954) = 3816 / 1908

GCD(4, 954) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 236

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

LCM(2, 236) = 236

GCD(2, 236) = ( 2 x 236 ) / 236

GCD(2, 236) = 472 / 236

GCD(2, 236) = 2

GCD of 548, 368, 954, 236 is 2

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1. What is the GCD of 548, 368, 954, 236?

GCD of 548, 368, 954, 236 is 2

2. Where do I get the detailed procedure to find GCD of 548, 368, 954, 236?

You can find a detailed procedure to find GCD of 548, 368, 954, 236 on our page.

3. How to find GCD of 548, 368, 954, 236 on a calculator?

You can find the GCD of 548, 368, 954, 236 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.