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 425, 200, 68, 358 i.e. 1 largest integer that divides all the numbers equally.
GCD of 425, 200, 68, 358 is 1
GCD(425, 200, 68, 358) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 425, 200, 68, 358 is 1
GCD(425, 200, 68, 358) = 1
Given Input numbers are 425, 200, 68, 358
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 425
List of positive integer divisors of 425 that divides 425 without a remainder.
1, 5, 17, 25, 85, 425
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 68
List of positive integer divisors of 68 that divides 68 without a remainder.
1, 2, 4, 17, 34, 68
Divisors of 358
List of positive integer divisors of 358 that divides 358 without a remainder.
1, 2, 179, 358
Greatest Common Divisior
We found the divisors of 425, 200, 68, 358 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 425, 200, 68, 358 is 1.
Therefore, GCD of numbers 425, 200, 68, 358 is 1
Given Input Data is 425, 200, 68, 358
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 425 is 5 x 5 x 17
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 68 is 2 x 2 x 17
Prime Factorization of 358 is 2 x 179
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(425, 200) = 3400
GCD(425, 200) = ( 425 x 200 ) / 3400
GCD(425, 200) = 85000 / 3400
GCD(425, 200) = 25
Step2:
Here we consider the GCD from the above i.e. 25 as first number and the next as 68
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(25, 68) = 1700
GCD(25, 68) = ( 25 x 68 ) / 1700
GCD(25, 68) = 1700 / 1700
GCD(25, 68) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 358
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 358) = 358
GCD(1, 358) = ( 1 x 358 ) / 358
GCD(1, 358) = 358 / 358
GCD(1, 358) = 1
GCD of 425, 200, 68, 358 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 425, 200, 68, 358?
GCD of 425, 200, 68, 358 is 1
2. Where do I get the detailed procedure to find GCD of 425, 200, 68, 358?
You can find a detailed procedure to find GCD of 425, 200, 68, 358 on our page.
3. How to find GCD of 425, 200, 68, 358 on a calculator?
You can find the GCD of 425, 200, 68, 358 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.