Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 642, 553, 721, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 553, 721, 745 is 1
GCD(642, 553, 721, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 553, 721, 745 is 1
GCD(642, 553, 721, 745) = 1
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
Here are some samples of GCD of Numbers calculations.
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.