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 889, 799, 625, 148 i.e. 1 largest integer that divides all the numbers equally.
GCD of 889, 799, 625, 148 is 1
GCD(889, 799, 625, 148) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 889, 799, 625, 148 is 1
GCD(889, 799, 625, 148) = 1
Given Input numbers are 889, 799, 625, 148
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 889
List of positive integer divisors of 889 that divides 889 without a remainder.
1, 7, 127, 889
Divisors of 799
List of positive integer divisors of 799 that divides 799 without a remainder.
1, 17, 47, 799
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Greatest Common Divisior
We found the divisors of 889, 799, 625, 148 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 889, 799, 625, 148 is 1.
Therefore, GCD of numbers 889, 799, 625, 148 is 1
Given Input Data is 889, 799, 625, 148
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 889 is 7 x 127
Prime Factorization of 799 is 17 x 47
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 148 is 2 x 2 x 37
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(889, 799) = 710311
GCD(889, 799) = ( 889 x 799 ) / 710311
GCD(889, 799) = 710311 / 710311
GCD(889, 799) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 625
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
GCD(1, 625) = 625 / 625
GCD(1, 625) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 148
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
GCD(1, 148) = 148 / 148
GCD(1, 148) = 1
GCD of 889, 799, 625, 148 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 889, 799, 625, 148?
GCD of 889, 799, 625, 148 is 1
2. Where do I get the detailed procedure to find GCD of 889, 799, 625, 148?
You can find a detailed procedure to find GCD of 889, 799, 625, 148 on our page.
3. How to find GCD of 889, 799, 625, 148 on a calculator?
You can find the GCD of 889, 799, 625, 148 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.