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 148, 751, 197, 825 i.e. 1 largest integer that divides all the numbers equally.
GCD of 148, 751, 197, 825 is 1
GCD(148, 751, 197, 825) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 148, 751, 197, 825 is 1
GCD(148, 751, 197, 825) = 1
Given Input numbers are 148, 751, 197, 825
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 148
List of positive integer divisors of 148 that divides 148 without a remainder.
1, 2, 4, 37, 74, 148
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 197
List of positive integer divisors of 197 that divides 197 without a remainder.
1, 197
Divisors of 825
List of positive integer divisors of 825 that divides 825 without a remainder.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Greatest Common Divisior
We found the divisors of 148, 751, 197, 825 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 148, 751, 197, 825 is 1.
Therefore, GCD of numbers 148, 751, 197, 825 is 1
Given Input Data is 148, 751, 197, 825
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 148 is 2 x 2 x 37
Prime Factorization of 751 is 751
Prime Factorization of 197 is 197
Prime Factorization of 825 is 3 x 5 x 5 x 11
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(148, 751) = 111148
GCD(148, 751) = ( 148 x 751 ) / 111148
GCD(148, 751) = 111148 / 111148
GCD(148, 751) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 197
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 197) = 197
GCD(1, 197) = ( 1 x 197 ) / 197
GCD(1, 197) = 197 / 197
GCD(1, 197) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 825
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
GCD(1, 825) = 825 / 825
GCD(1, 825) = 1
GCD of 148, 751, 197, 825 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 148, 751, 197, 825?
GCD of 148, 751, 197, 825 is 1
2. Where do I get the detailed procedure to find GCD of 148, 751, 197, 825?
You can find a detailed procedure to find GCD of 148, 751, 197, 825 on our page.
3. How to find GCD of 148, 751, 197, 825 on a calculator?
You can find the GCD of 148, 751, 197, 825 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.