GCD of 642, 553, 721, 745 Calculator

Given Input numbers are 642, 553, 721, 745

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

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 553

List of positive integer divisors of 553 that divides 553 without a remainder.

1, 7, 79, 553

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 745

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

1, 5, 149, 745

Greatest Common Divisior

We found the divisors of 642, 553, 721, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 553, 721, 745 is 1.

Therefore, GCD of numbers 642, 553, 721, 745 is 1

Given Input Data is 642, 553, 721, 745

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

Prime Factorization of 642 is 2 x 3 x 107

Prime Factorization of 553 is 7 x 79

Prime Factorization of 721 is 7 x 103

Prime Factorization of 745 is 5 x 149

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(642, 553) = 355026

GCD(642, 553) = ( 642 x 553 ) / 355026

GCD(642, 553) = 355026 / 355026

GCD(642, 553) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 745

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

LCM(1, 745) = 745

GCD(1, 745) = ( 1 x 745 ) / 745

GCD(1, 745) = 745 / 745

GCD(1, 745) = 1

GCD of 642, 553, 721, 745 is 1

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1. What is the GCD of 642, 553, 721, 745?

GCD of 642, 553, 721, 745 is 1

2. Where do I get the detailed procedure to find GCD of 642, 553, 721, 745?

You can find a detailed procedure to find GCD of 642, 553, 721, 745 on our page.

3. How to find GCD of 642, 553, 721, 745 on a calculator?

You can find the GCD of 642, 553, 721, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.