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 357, 753, 404, 350 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 753, 404, 350 is 1
GCD(357, 753, 404, 350) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 753, 404, 350 is 1
GCD(357, 753, 404, 350) = 1
Given Input numbers are 357, 753, 404, 350
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 404
List of positive integer divisors of 404 that divides 404 without a remainder.
1, 2, 4, 101, 202, 404
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Greatest Common Divisior
We found the divisors of 357, 753, 404, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 753, 404, 350 is 1.
Therefore, GCD of numbers 357, 753, 404, 350 is 1
Given Input Data is 357, 753, 404, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 753 is 3 x 251
Prime Factorization of 404 is 2 x 2 x 101
Prime Factorization of 350 is 2 x 5 x 5 x 7
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(357, 753) = 89607
GCD(357, 753) = ( 357 x 753 ) / 89607
GCD(357, 753) = 268821 / 89607
GCD(357, 753) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 404
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 404) = 1212
GCD(3, 404) = ( 3 x 404 ) / 1212
GCD(3, 404) = 1212 / 1212
GCD(3, 404) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
GCD(1, 350) = 350 / 350
GCD(1, 350) = 1
GCD of 357, 753, 404, 350 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 753, 404, 350?
GCD of 357, 753, 404, 350 is 1
2. Where do I get the detailed procedure to find GCD of 357, 753, 404, 350?
You can find a detailed procedure to find GCD of 357, 753, 404, 350 on our page.
3. How to find GCD of 357, 753, 404, 350 on a calculator?
You can find the GCD of 357, 753, 404, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.