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 207, 747, 425, 160 i.e. 1 largest integer that divides all the numbers equally.
GCD of 207, 747, 425, 160 is 1
GCD(207, 747, 425, 160) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 747, 425, 160 is 1
GCD(207, 747, 425, 160) = 1
Given Input numbers are 207, 747, 425, 160
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 160
List of positive integer divisors of 160 that divides 160 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
Greatest Common Divisior
We found the divisors of 207, 747, 425, 160 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 747, 425, 160 is 1.
Therefore, GCD of numbers 207, 747, 425, 160 is 1
Given Input Data is 207, 747, 425, 160
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
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(207, 747) = 17181
GCD(207, 747) = ( 207 x 747 ) / 17181
GCD(207, 747) = 154629 / 17181
GCD(207, 747) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 425
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 425) = 3825
GCD(9, 425) = ( 9 x 425 ) / 3825
GCD(9, 425) = 3825 / 3825
GCD(9, 425) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 160
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 160) = 160
GCD(1, 160) = ( 1 x 160 ) / 160
GCD(1, 160) = 160 / 160
GCD(1, 160) = 1
GCD of 207, 747, 425, 160 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 747, 425, 160?
GCD of 207, 747, 425, 160 is 1
2. Where do I get the detailed procedure to find GCD of 207, 747, 425, 160?
You can find a detailed procedure to find GCD of 207, 747, 425, 160 on our page.
3. How to find GCD of 207, 747, 425, 160 on a calculator?
You can find the GCD of 207, 747, 425, 160 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.