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 350, 658, 35, 472 i.e. 1 largest integer that divides all the numbers equally.
GCD of 350, 658, 35, 472 is 1
GCD(350, 658, 35, 472) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 350, 658, 35, 472 is 1
GCD(350, 658, 35, 472) = 1
Given Input numbers are 350, 658, 35, 472
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 472
List of positive integer divisors of 472 that divides 472 without a remainder.
1, 2, 4, 8, 59, 118, 236, 472
Greatest Common Divisior
We found the divisors of 350, 658, 35, 472 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 350, 658, 35, 472 is 1.
Therefore, GCD of numbers 350, 658, 35, 472 is 1
Given Input Data is 350, 658, 35, 472
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 35 is 5 x 7
Prime Factorization of 472 is 2 x 2 x 2 x 59
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(350, 658) = 16450
GCD(350, 658) = ( 350 x 658 ) / 16450
GCD(350, 658) = 230300 / 16450
GCD(350, 658) = 14
Step2:
Here we consider the GCD from the above i.e. 14 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(14, 35) = 70
GCD(14, 35) = ( 14 x 35 ) / 70
GCD(14, 35) = 490 / 70
GCD(14, 35) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 472
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 472) = 3304
GCD(7, 472) = ( 7 x 472 ) / 3304
GCD(7, 472) = 3304 / 3304
GCD(7, 472) = 1
GCD of 350, 658, 35, 472 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 350, 658, 35, 472?
GCD of 350, 658, 35, 472 is 1
2. Where do I get the detailed procedure to find GCD of 350, 658, 35, 472?
You can find a detailed procedure to find GCD of 350, 658, 35, 472 on our page.
3. How to find GCD of 350, 658, 35, 472 on a calculator?
You can find the GCD of 350, 658, 35, 472 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.