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 721, 154, 883, 653 i.e. 1 largest integer that divides all the numbers equally.
GCD of 721, 154, 883, 653 is 1
GCD(721, 154, 883, 653) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 721, 154, 883, 653 is 1
GCD(721, 154, 883, 653) = 1
Given Input numbers are 721, 154, 883, 653
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 721
List of positive integer divisors of 721 that divides 721 without a remainder.
1, 7, 103, 721
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Divisors of 653
List of positive integer divisors of 653 that divides 653 without a remainder.
1, 653
Greatest Common Divisior
We found the divisors of 721, 154, 883, 653 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 721, 154, 883, 653 is 1.
Therefore, GCD of numbers 721, 154, 883, 653 is 1
Given Input Data is 721, 154, 883, 653
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 721 is 7 x 103
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 883 is 883
Prime Factorization of 653 is 653
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(721, 154) = 15862
GCD(721, 154) = ( 721 x 154 ) / 15862
GCD(721, 154) = 111034 / 15862
GCD(721, 154) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 883) = 6181
GCD(7, 883) = ( 7 x 883 ) / 6181
GCD(7, 883) = 6181 / 6181
GCD(7, 883) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 653
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 653) = 653
GCD(1, 653) = ( 1 x 653 ) / 653
GCD(1, 653) = 653 / 653
GCD(1, 653) = 1
GCD of 721, 154, 883, 653 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 721, 154, 883, 653?
GCD of 721, 154, 883, 653 is 1
2. Where do I get the detailed procedure to find GCD of 721, 154, 883, 653?
You can find a detailed procedure to find GCD of 721, 154, 883, 653 on our page.
3. How to find GCD of 721, 154, 883, 653 on a calculator?
You can find the GCD of 721, 154, 883, 653 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.