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 262, 462, 25, 414 i.e. 1 largest integer that divides all the numbers equally.
GCD of 262, 462, 25, 414 is 1
GCD(262, 462, 25, 414) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 262, 462, 25, 414 is 1
GCD(262, 462, 25, 414) = 1
Given Input numbers are 262, 462, 25, 414
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 262
List of positive integer divisors of 262 that divides 262 without a remainder.
1, 2, 131, 262
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 25
List of positive integer divisors of 25 that divides 25 without a remainder.
1, 5, 25
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Greatest Common Divisior
We found the divisors of 262, 462, 25, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 262, 462, 25, 414 is 1.
Therefore, GCD of numbers 262, 462, 25, 414 is 1
Given Input Data is 262, 462, 25, 414
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 262 is 2 x 131
Prime Factorization of 462 is 2 x 3 x 7 x 11
Prime Factorization of 25 is 5 x 5
Prime Factorization of 414 is 2 x 3 x 3 x 23
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(262, 462) = 60522
GCD(262, 462) = ( 262 x 462 ) / 60522
GCD(262, 462) = 121044 / 60522
GCD(262, 462) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 25
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 25) = 50
GCD(2, 25) = ( 2 x 25 ) / 50
GCD(2, 25) = 50 / 50
GCD(2, 25) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 414
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 414) = 414
GCD(1, 414) = ( 1 x 414 ) / 414
GCD(1, 414) = 414 / 414
GCD(1, 414) = 1
GCD of 262, 462, 25, 414 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 262, 462, 25, 414?
GCD of 262, 462, 25, 414 is 1
2. Where do I get the detailed procedure to find GCD of 262, 462, 25, 414?
You can find a detailed procedure to find GCD of 262, 462, 25, 414 on our page.
3. How to find GCD of 262, 462, 25, 414 on a calculator?
You can find the GCD of 262, 462, 25, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.