GCD of 745, 268, 698, 219 Calculator

Given Input numbers are 745, 268, 698, 219

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Greatest Common Divisior

We found the divisors of 745, 268, 698, 219 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 268, 698, 219 is 1.

Therefore, GCD of numbers 745, 268, 698, 219 is 1

Given Input Data is 745, 268, 698, 219

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 698 is 2 x 349

Prime Factorization of 219 is 3 x 73

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(745, 268) = 199660

GCD(745, 268) = ( 745 x 268 ) / 199660

GCD(745, 268) = 199660 / 199660

GCD(745, 268) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 698

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

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

GCD(1, 698) = 698 / 698

GCD(1, 698) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 219

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

LCM(1, 219) = 219

GCD(1, 219) = ( 1 x 219 ) / 219

GCD(1, 219) = 219 / 219

GCD(1, 219) = 1

GCD of 745, 268, 698, 219 is 1

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1. What is the GCD of 745, 268, 698, 219?

GCD of 745, 268, 698, 219 is 1

2. Where do I get the detailed procedure to find GCD of 745, 268, 698, 219?

You can find a detailed procedure to find GCD of 745, 268, 698, 219 on our page.

3. How to find GCD of 745, 268, 698, 219 on a calculator?

You can find the GCD of 745, 268, 698, 219 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.