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 425, 705, 72, 656 i.e. 1 largest integer that divides all the numbers equally.
GCD of 425, 705, 72, 656 is 1
GCD(425, 705, 72, 656) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 425, 705, 72, 656 is 1
GCD(425, 705, 72, 656) = 1
Given Input numbers are 425, 705, 72, 656
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 656
List of positive integer divisors of 656 that divides 656 without a remainder.
1, 2, 4, 8, 16, 41, 82, 164, 328, 656
Greatest Common Divisior
We found the divisors of 425, 705, 72, 656 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 705, 72, 656 is 1.
Therefore, GCD of numbers 425, 705, 72, 656 is 1
Given Input Data is 425, 705, 72, 656
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41
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(425, 705) = 59925
GCD(425, 705) = ( 425 x 705 ) / 59925
GCD(425, 705) = 299625 / 59925
GCD(425, 705) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 72) = 360
GCD(5, 72) = ( 5 x 72 ) / 360
GCD(5, 72) = 360 / 360
GCD(5, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 656
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 656) = 656
GCD(1, 656) = ( 1 x 656 ) / 656
GCD(1, 656) = 656 / 656
GCD(1, 656) = 1
GCD of 425, 705, 72, 656 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 425, 705, 72, 656?
GCD of 425, 705, 72, 656 is 1
2. Where do I get the detailed procedure to find GCD of 425, 705, 72, 656?
You can find a detailed procedure to find GCD of 425, 705, 72, 656 on our page.
3. How to find GCD of 425, 705, 72, 656 on a calculator?
You can find the GCD of 425, 705, 72, 656 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.