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 807, 725, 160, 775 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 725, 160, 775 is 1
GCD(807, 725, 160, 775) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 725, 160, 775 is 1
GCD(807, 725, 160, 775) = 1
Given Input numbers are 807, 725, 160, 775
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 725
List of positive integer divisors of 725 that divides 725 without a remainder.
1, 5, 25, 29, 145, 725
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
Divisors of 775
List of positive integer divisors of 775 that divides 775 without a remainder.
1, 5, 25, 31, 155, 775
Greatest Common Divisior
We found the divisors of 807, 725, 160, 775 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 725, 160, 775 is 1.
Therefore, GCD of numbers 807, 725, 160, 775 is 1
Given Input Data is 807, 725, 160, 775
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 725 is 5 x 5 x 29
Prime Factorization of 160 is 2 x 2 x 2 x 2 x 2 x 5
Prime Factorization of 775 is 5 x 5 x 31
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(807, 725) = 585075
GCD(807, 725) = ( 807 x 725 ) / 585075
GCD(807, 725) = 585075 / 585075
GCD(807, 725) = 1
Step2:
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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 775
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 775) = 775
GCD(1, 775) = ( 1 x 775 ) / 775
GCD(1, 775) = 775 / 775
GCD(1, 775) = 1
GCD of 807, 725, 160, 775 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 725, 160, 775?
GCD of 807, 725, 160, 775 is 1
2. Where do I get the detailed procedure to find GCD of 807, 725, 160, 775?
You can find a detailed procedure to find GCD of 807, 725, 160, 775 on our page.
3. How to find GCD of 807, 725, 160, 775 on a calculator?
You can find the GCD of 807, 725, 160, 775 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.