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 967, 946, 882, 414 i.e. 1 largest integer that divides all the numbers equally.
GCD of 967, 946, 882, 414 is 1
GCD(967, 946, 882, 414) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 967, 946, 882, 414 is 1
GCD(967, 946, 882, 414) = 1
Given Input numbers are 967, 946, 882, 414
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 967
List of positive integer divisors of 967 that divides 967 without a remainder.
1, 967
Divisors of 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 882
List of positive integer divisors of 882 that divides 882 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
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 967, 946, 882, 414 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 967, 946, 882, 414 is 1.
Therefore, GCD of numbers 967, 946, 882, 414 is 1
Given Input Data is 967, 946, 882, 414
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 967 is 967
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7
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(967, 946) = 914782
GCD(967, 946) = ( 967 x 946 ) / 914782
GCD(967, 946) = 914782 / 914782
GCD(967, 946) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 882
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
GCD(1, 882) = 882 / 882
GCD(1, 882) = 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 967, 946, 882, 414 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 967, 946, 882, 414?
GCD of 967, 946, 882, 414 is 1
2. Where do I get the detailed procedure to find GCD of 967, 946, 882, 414?
You can find a detailed procedure to find GCD of 967, 946, 882, 414 on our page.
3. How to find GCD of 967, 946, 882, 414 on a calculator?
You can find the GCD of 967, 946, 882, 414 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.