GCD of 567, 220, 448, 760 Calculator

Given Input numbers are 567, 220, 448, 760

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

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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 760

List of positive integer divisors of 760 that divides 760 without a remainder.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

Greatest Common Divisior

We found the divisors of 567, 220, 448, 760 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 567, 220, 448, 760 is 1.

Therefore, GCD of numbers 567, 220, 448, 760 is 1

Given Input Data is 567, 220, 448, 760

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

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

Prime Factorization of 220 is 2 x 2 x 5 x 11

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

Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19

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(567, 220) = 124740

GCD(567, 220) = ( 567 x 220 ) / 124740

GCD(567, 220) = 124740 / 124740

GCD(567, 220) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 448

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

LCM(1, 448) = 448

GCD(1, 448) = ( 1 x 448 ) / 448

GCD(1, 448) = 448 / 448

GCD(1, 448) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 760

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

LCM(1, 760) = 760

GCD(1, 760) = ( 1 x 760 ) / 760

GCD(1, 760) = 760 / 760

GCD(1, 760) = 1

GCD of 567, 220, 448, 760 is 1

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1. What is the GCD of 567, 220, 448, 760?

GCD of 567, 220, 448, 760 is 1

2. Where do I get the detailed procedure to find GCD of 567, 220, 448, 760?

You can find a detailed procedure to find GCD of 567, 220, 448, 760 on our page.

3. How to find GCD of 567, 220, 448, 760 on a calculator?

You can find the GCD of 567, 220, 448, 760 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.