GCD of 675, 224, 748, 650 Calculator

Given Input numbers are 675, 224, 748, 650

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

Divisors of 675

List of positive integer divisors of 675 that divides 675 without a remainder.

1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 650

List of positive integer divisors of 650 that divides 650 without a remainder.

1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

Greatest Common Divisior

We found the divisors of 675, 224, 748, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 224, 748, 650 is 1.

Therefore, GCD of numbers 675, 224, 748, 650 is 1

Given Input Data is 675, 224, 748, 650

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

Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 650 is 2 x 5 x 5 x 13

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(675, 224) = 151200

GCD(675, 224) = ( 675 x 224 ) / 151200

GCD(675, 224) = 151200 / 151200

GCD(675, 224) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 748

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

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

GCD(1, 748) = 748 / 748

GCD(1, 748) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 650

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

LCM(1, 650) = 650

GCD(1, 650) = ( 1 x 650 ) / 650

GCD(1, 650) = 650 / 650

GCD(1, 650) = 1

GCD of 675, 224, 748, 650 is 1

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1. What is the GCD of 675, 224, 748, 650?

GCD of 675, 224, 748, 650 is 1

2. Where do I get the detailed procedure to find GCD of 675, 224, 748, 650?

You can find a detailed procedure to find GCD of 675, 224, 748, 650 on our page.

3. How to find GCD of 675, 224, 748, 650 on a calculator?

You can find the GCD of 675, 224, 748, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.