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 125, 190, 718, 265 i.e. 1 largest integer that divides all the numbers equally.
GCD of 125, 190, 718, 265 is 1
GCD(125, 190, 718, 265) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 190, 718, 265 is 1
GCD(125, 190, 718, 265) = 1
Given Input numbers are 125, 190, 718, 265
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 125
List of positive integer divisors of 125 that divides 125 without a remainder.
1, 5, 25, 125
Divisors of 190
List of positive integer divisors of 190 that divides 190 without a remainder.
1, 2, 5, 10, 19, 38, 95, 190
Divisors of 718
List of positive integer divisors of 718 that divides 718 without a remainder.
1, 2, 359, 718
Divisors of 265
List of positive integer divisors of 265 that divides 265 without a remainder.
1, 5, 53, 265
Greatest Common Divisior
We found the divisors of 125, 190, 718, 265 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 190, 718, 265 is 1.
Therefore, GCD of numbers 125, 190, 718, 265 is 1
Given Input Data is 125, 190, 718, 265
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 125 is 5 x 5 x 5
Prime Factorization of 190 is 2 x 5 x 19
Prime Factorization of 718 is 2 x 359
Prime Factorization of 265 is 5 x 53
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(125, 190) = 4750
GCD(125, 190) = ( 125 x 190 ) / 4750
GCD(125, 190) = 23750 / 4750
GCD(125, 190) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 718
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 718) = 3590
GCD(5, 718) = ( 5 x 718 ) / 3590
GCD(5, 718) = 3590 / 3590
GCD(5, 718) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 265
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 265) = 265
GCD(1, 265) = ( 1 x 265 ) / 265
GCD(1, 265) = 265 / 265
GCD(1, 265) = 1
GCD of 125, 190, 718, 265 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 190, 718, 265?
GCD of 125, 190, 718, 265 is 1
2. Where do I get the detailed procedure to find GCD of 125, 190, 718, 265?
You can find a detailed procedure to find GCD of 125, 190, 718, 265 on our page.
3. How to find GCD of 125, 190, 718, 265 on a calculator?
You can find the GCD of 125, 190, 718, 265 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.