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 468, 462, 35, 350 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 462, 35, 350 is 1
GCD(468, 462, 35, 350) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 462, 35, 350 is 1
GCD(468, 462, 35, 350) = 1
Given Input numbers are 468, 462, 35, 350
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
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 468, 462, 35, 350 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 462, 35, 350 is 1.
Therefore, GCD of numbers 468, 462, 35, 350 is 1
Given Input Data is 468, 462, 35, 350
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 35 is 5 x 7
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(468, 462) = 36036
GCD(468, 462) = ( 468 x 462 ) / 36036
GCD(468, 462) = 216216 / 36036
GCD(468, 462) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 35) = 210
GCD(6, 35) = ( 6 x 35 ) / 210
GCD(6, 35) = 210 / 210
GCD(6, 35) = 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 468, 462, 35, 350 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 462, 35, 350?
GCD of 468, 462, 35, 350 is 1
2. Where do I get the detailed procedure to find GCD of 468, 462, 35, 350?
You can find a detailed procedure to find GCD of 468, 462, 35, 350 on our page.
3. How to find GCD of 468, 462, 35, 350 on a calculator?
You can find the GCD of 468, 462, 35, 350 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.