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 414, 174, 675, 961 i.e. 1 largest integer that divides all the numbers equally.
GCD of 414, 174, 675, 961 is 1
GCD(414, 174, 675, 961) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 174, 675, 961 is 1
GCD(414, 174, 675, 961) = 1
Given Input numbers are 414, 174, 675, 961
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 174
List of positive integer divisors of 174 that divides 174 without a remainder.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 961
List of positive integer divisors of 961 that divides 961 without a remainder.
1, 31, 961
Greatest Common Divisior
We found the divisors of 414, 174, 675, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 174, 675, 961 is 1.
Therefore, GCD of numbers 414, 174, 675, 961 is 1
Given Input Data is 414, 174, 675, 961
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 174 is 2 x 3 x 29
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 961 is 31 x 31
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(414, 174) = 12006
GCD(414, 174) = ( 414 x 174 ) / 12006
GCD(414, 174) = 72036 / 12006
GCD(414, 174) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 675) = 1350
GCD(6, 675) = ( 6 x 675 ) / 1350
GCD(6, 675) = 4050 / 1350
GCD(6, 675) = 3
Step3:
Here we consider the GCD from the above i.e. 3 as first number and the next as 961
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 961) = 2883
GCD(3, 961) = ( 3 x 961 ) / 2883
GCD(3, 961) = 2883 / 2883
GCD(3, 961) = 1
GCD of 414, 174, 675, 961 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 414, 174, 675, 961?
GCD of 414, 174, 675, 961 is 1
2. Where do I get the detailed procedure to find GCD of 414, 174, 675, 961?
You can find a detailed procedure to find GCD of 414, 174, 675, 961 on our page.
3. How to find GCD of 414, 174, 675, 961 on a calculator?
You can find the GCD of 414, 174, 675, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.