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 203, 752, 25, 154 i.e. 1 largest integer that divides all the numbers equally.
GCD of 203, 752, 25, 154 is 1
GCD(203, 752, 25, 154) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 203, 752, 25, 154 is 1
GCD(203, 752, 25, 154) = 1
Given Input numbers are 203, 752, 25, 154
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Greatest Common Divisior
We found the divisors of 203, 752, 25, 154 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 752, 25, 154 is 1.
Therefore, GCD of numbers 203, 752, 25, 154 is 1
Given Input Data is 203, 752, 25, 154
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 203 is 7 x 29
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 25 is 5 x 5
Prime Factorization of 154 is 2 x 7 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(203, 752) = 152656
GCD(203, 752) = ( 203 x 752 ) / 152656
GCD(203, 752) = 152656 / 152656
GCD(203, 752) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 25) = 25
GCD(1, 25) = ( 1 x 25 ) / 25
GCD(1, 25) = 25 / 25
GCD(1, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 154
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 154) = 154
GCD(1, 154) = ( 1 x 154 ) / 154
GCD(1, 154) = 154 / 154
GCD(1, 154) = 1
GCD of 203, 752, 25, 154 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 203, 752, 25, 154?
GCD of 203, 752, 25, 154 is 1
2. Where do I get the detailed procedure to find GCD of 203, 752, 25, 154?
You can find a detailed procedure to find GCD of 203, 752, 25, 154 on our page.
3. How to find GCD of 203, 752, 25, 154 on a calculator?
You can find the GCD of 203, 752, 25, 154 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.