GCD of 548, 940, 64, 648 Calculator

Given Input numbers are 548, 940, 64, 648

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 940

List of positive integer divisors of 940 that divides 940 without a remainder.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

Divisors of 64

List of positive integer divisors of 64 that divides 64 without a remainder.

1, 2, 4, 8, 16, 32, 64

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 548, 940, 64, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 548, 940, 64, 648 is 4.

Therefore, GCD of numbers 548, 940, 64, 648 is 4

Given Input Data is 548, 940, 64, 648

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 940 is 2 x 2 x 5 x 47

Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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, 940) = 128780

GCD(548, 940) = ( 548 x 940 ) / 128780

GCD(548, 940) = 515120 / 128780

GCD(548, 940) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 64

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

LCM(4, 64) = 64

GCD(4, 64) = ( 4 x 64 ) / 64

GCD(4, 64) = 256 / 64

GCD(4, 64) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 648

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

LCM(4, 648) = 648

GCD(4, 648) = ( 4 x 648 ) / 648

GCD(4, 648) = 2592 / 648

GCD(4, 648) = 4

GCD of 548, 940, 64, 648 is 4

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1. What is the GCD of 548, 940, 64, 648?

GCD of 548, 940, 64, 648 is 4

2. Where do I get the detailed procedure to find GCD of 548, 940, 64, 648?

You can find a detailed procedure to find GCD of 548, 940, 64, 648 on our page.

3. How to find GCD of 548, 940, 64, 648 on a calculator?

You can find the GCD of 548, 940, 64, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.