GCD of 742, 219, 632 Calculator

Given Input numbers are 742, 219, 632

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 219

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

1, 3, 73, 219

Divisors of 632

List of positive integer divisors of 632 that divides 632 without a remainder.

1, 2, 4, 8, 79, 158, 316, 632

Greatest Common Divisior

We found the divisors of 742, 219, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 219, 632 is 1.

Therefore, GCD of numbers 742, 219, 632 is 1

Given Input Data is 742, 219, 632

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 219 is 3 x 73

Prime Factorization of 632 is 2 x 2 x 2 x 79

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(742, 219) = 162498

GCD(742, 219) = ( 742 x 219 ) / 162498

GCD(742, 219) = 162498 / 162498

GCD(742, 219) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 632

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

LCM(1, 632) = 632

GCD(1, 632) = ( 1 x 632 ) / 632

GCD(1, 632) = 632 / 632

GCD(1, 632) = 1

GCD of 742, 219, 632 is 1

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1. What is the GCD of 742, 219, 632?

GCD of 742, 219, 632 is 1

2. Where do I get the detailed procedure to find GCD of 742, 219, 632?

You can find a detailed procedure to find GCD of 742, 219, 632 on our page.

3. How to find GCD of 742, 219, 632 on a calculator?

You can find the GCD of 742, 219, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.