GCD of 652, 448, 22 Calculator

Given Input numbers are 652, 448, 22

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

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Divisors of 448

List of positive integer divisors of 448 that divides 448 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Greatest Common Divisior

We found the divisors of 652, 448, 22 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 652, 448, 22 is 2.

Therefore, GCD of numbers 652, 448, 22 is 2

Given Input Data is 652, 448, 22

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

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 448 is 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 22 is 2 x 11

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(652, 448) = 73024

GCD(652, 448) = ( 652 x 448 ) / 73024

GCD(652, 448) = 292096 / 73024

GCD(652, 448) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 22

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

LCM(4, 22) = 44

GCD(4, 22) = ( 4 x 22 ) / 44

GCD(4, 22) = 88 / 44

GCD(4, 22) = 2

GCD of 652, 448, 22 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 711, 335, 50
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• GCD of 701, 782, 45
• GCD of 370, 807, 11

1. What is the GCD of 652, 448, 22?

GCD of 652, 448, 22 is 2

2. Where do I get the detailed procedure to find GCD of 652, 448, 22?

You can find a detailed procedure to find GCD of 652, 448, 22 on our page.

3. How to find GCD of 652, 448, 22 on a calculator?

You can find the GCD of 652, 448, 22 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.