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, 925, 58, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 925, 58, 301 is 1
GCD(807, 925, 58, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 925, 58, 301 is 1
GCD(807, 925, 58, 301) = 1
Given Input numbers are 807, 925, 58, 301
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 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 58
List of positive integer divisors of 58 that divides 58 without a remainder.
1, 2, 29, 58
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 807, 925, 58, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 925, 58, 301 is 1.
Therefore, GCD of numbers 807, 925, 58, 301 is 1
Given Input Data is 807, 925, 58, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 58 is 2 x 29
Prime Factorization of 301 is 7 x 43
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, 925) = 746475
GCD(807, 925) = ( 807 x 925 ) / 746475
GCD(807, 925) = 746475 / 746475
GCD(807, 925) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 58
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 58) = 58
GCD(1, 58) = ( 1 x 58 ) / 58
GCD(1, 58) = 58 / 58
GCD(1, 58) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
GCD of 807, 925, 58, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 925, 58, 301?
GCD of 807, 925, 58, 301 is 1
2. Where do I get the detailed procedure to find GCD of 807, 925, 58, 301?
You can find a detailed procedure to find GCD of 807, 925, 58, 301 on our page.
3. How to find GCD of 807, 925, 58, 301 on a calculator?
You can find the GCD of 807, 925, 58, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.