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 145, 647, 720, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 647, 720, 972 is 1
GCD(145, 647, 720, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 647, 720, 972 is 1
GCD(145, 647, 720, 972) = 1
Given Input numbers are 145, 647, 720, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Divisors of 720
List of positive integer divisors of 720 that divides 720 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 145, 647, 720, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 647, 720, 972 is 1.
Therefore, GCD of numbers 145, 647, 720, 972 is 1
Given Input Data is 145, 647, 720, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 647 is 647
Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(145, 647) = 93815
GCD(145, 647) = ( 145 x 647 ) / 93815
GCD(145, 647) = 93815 / 93815
GCD(145, 647) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 720
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 720) = 720
GCD(1, 720) = ( 1 x 720 ) / 720
GCD(1, 720) = 720 / 720
GCD(1, 720) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
GCD of 145, 647, 720, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 647, 720, 972?
GCD of 145, 647, 720, 972 is 1
2. Where do I get the detailed procedure to find GCD of 145, 647, 720, 972?
You can find a detailed procedure to find GCD of 145, 647, 720, 972 on our page.
3. How to find GCD of 145, 647, 720, 972 on a calculator?
You can find the GCD of 145, 647, 720, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.