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, 353, 32, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 125, 353, 32, 435 is 1
GCD(125, 353, 32, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 125, 353, 32, 435 is 1
GCD(125, 353, 32, 435) = 1
Given Input numbers are 125, 353, 32, 435
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 353
List of positive integer divisors of 353 that divides 353 without a remainder.
1, 353
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 125, 353, 32, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 125, 353, 32, 435 is 1.
Therefore, GCD of numbers 125, 353, 32, 435 is 1
Given Input Data is 125, 353, 32, 435
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 353 is 353
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 435 is 3 x 5 x 29
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, 353) = 44125
GCD(125, 353) = ( 125 x 353 ) / 44125
GCD(125, 353) = 44125 / 44125
GCD(125, 353) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 32) = 32
GCD(1, 32) = ( 1 x 32 ) / 32
GCD(1, 32) = 32 / 32
GCD(1, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 125, 353, 32, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 125, 353, 32, 435?
GCD of 125, 353, 32, 435 is 1
2. Where do I get the detailed procedure to find GCD of 125, 353, 32, 435?
You can find a detailed procedure to find GCD of 125, 353, 32, 435 on our page.
3. How to find GCD of 125, 353, 32, 435 on a calculator?
You can find the GCD of 125, 353, 32, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.