GCD of 569, 354, 22, 148 Calculator

Given Input numbers are 569, 354, 22, 148

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

Divisors of 569

List of positive integer divisors of 569 that divides 569 without a remainder.

1, 569

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 22

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

1, 2, 11, 22

Divisors of 148

List of positive integer divisors of 148 that divides 148 without a remainder.

1, 2, 4, 37, 74, 148

Greatest Common Divisior

We found the divisors of 569, 354, 22, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 569, 354, 22, 148 is 1.

Therefore, GCD of numbers 569, 354, 22, 148 is 1

Given Input Data is 569, 354, 22, 148

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

Prime Factorization of 569 is 569

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 22 is 2 x 11

Prime Factorization of 148 is 2 x 2 x 37

The above numbers do not have any common prime factor. So GCD is 1

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(569, 354) = 201426

GCD(569, 354) = ( 569 x 354 ) / 201426

GCD(569, 354) = 201426 / 201426

GCD(569, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 22

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

LCM(1, 22) = 22

GCD(1, 22) = ( 1 x 22 ) / 22

GCD(1, 22) = 22 / 22

GCD(1, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 148

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

LCM(1, 148) = 148

GCD(1, 148) = ( 1 x 148 ) / 148

GCD(1, 148) = 148 / 148

GCD(1, 148) = 1

GCD of 569, 354, 22, 148 is 1

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1. What is the GCD of 569, 354, 22, 148?

GCD of 569, 354, 22, 148 is 1

2. Where do I get the detailed procedure to find GCD of 569, 354, 22, 148?

You can find a detailed procedure to find GCD of 569, 354, 22, 148 on our page.

3. How to find GCD of 569, 354, 22, 148 on a calculator?

You can find the GCD of 569, 354, 22, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.