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 722, 654, 95, 588 i.e. 1 largest integer that divides all the numbers equally.
GCD of 722, 654, 95, 588 is 1
GCD(722, 654, 95, 588) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 722, 654, 95, 588 is 1
GCD(722, 654, 95, 588) = 1
Given Input numbers are 722, 654, 95, 588
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 722
List of positive integer divisors of 722 that divides 722 without a remainder.
1, 2, 19, 38, 361, 722
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 95
List of positive integer divisors of 95 that divides 95 without a remainder.
1, 5, 19, 95
Divisors of 588
List of positive integer divisors of 588 that divides 588 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
Greatest Common Divisior
We found the divisors of 722, 654, 95, 588 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 722, 654, 95, 588 is 1.
Therefore, GCD of numbers 722, 654, 95, 588 is 1
Given Input Data is 722, 654, 95, 588
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 722 is 2 x 19 x 19
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 95 is 5 x 19
Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7
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(722, 654) = 236094
GCD(722, 654) = ( 722 x 654 ) / 236094
GCD(722, 654) = 472188 / 236094
GCD(722, 654) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 95
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 95) = 190
GCD(2, 95) = ( 2 x 95 ) / 190
GCD(2, 95) = 190 / 190
GCD(2, 95) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 588
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 588) = 588
GCD(1, 588) = ( 1 x 588 ) / 588
GCD(1, 588) = 588 / 588
GCD(1, 588) = 1
GCD of 722, 654, 95, 588 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 722, 654, 95, 588?
GCD of 722, 654, 95, 588 is 1
2. Where do I get the detailed procedure to find GCD of 722, 654, 95, 588?
You can find a detailed procedure to find GCD of 722, 654, 95, 588 on our page.
3. How to find GCD of 722, 654, 95, 588 on a calculator?
You can find the GCD of 722, 654, 95, 588 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.