GCD of 196, 304, 64, 578 Calculator

Given Input numbers are 196, 304, 64, 578

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

Divisors of 196

List of positive integer divisors of 196 that divides 196 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 304

List of positive integer divisors of 304 that divides 304 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

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 578

List of positive integer divisors of 578 that divides 578 without a remainder.

1, 2, 17, 34, 289, 578

Greatest Common Divisior

We found the divisors of 196, 304, 64, 578 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 196, 304, 64, 578 is 2.

Therefore, GCD of numbers 196, 304, 64, 578 is 2

Given Input Data is 196, 304, 64, 578

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

Prime Factorization of 196 is 2 x 2 x 7 x 7

Prime Factorization of 304 is 2 x 2 x 2 x 2 x 19

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

Prime Factorization of 578 is 2 x 17 x 17

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(196, 304) = 14896

GCD(196, 304) = ( 196 x 304 ) / 14896

GCD(196, 304) = 59584 / 14896

GCD(196, 304) = 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 578

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

LCM(4, 578) = 1156

GCD(4, 578) = ( 4 x 578 ) / 1156

GCD(4, 578) = 2312 / 1156

GCD(4, 578) = 2

GCD of 196, 304, 64, 578 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 895, 484, 32, 330
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• GCD of 863, 958, 45, 369
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• GCD of 573, 577, 98, 228

1. What is the GCD of 196, 304, 64, 578?

GCD of 196, 304, 64, 578 is 2

2. Where do I get the detailed procedure to find GCD of 196, 304, 64, 578?

You can find a detailed procedure to find GCD of 196, 304, 64, 578 on our page.

3. How to find GCD of 196, 304, 64, 578 on a calculator?

You can find the GCD of 196, 304, 64, 578 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.