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 964, 142, 73, 714 i.e. 1 largest integer that divides all the numbers equally.
GCD of 964, 142, 73, 714 is 1
GCD(964, 142, 73, 714) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 964, 142, 73, 714 is 1
GCD(964, 142, 73, 714) = 1
Given Input numbers are 964, 142, 73, 714
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 964
List of positive integer divisors of 964 that divides 964 without a remainder.
1, 2, 4, 241, 482, 964
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Greatest Common Divisior
We found the divisors of 964, 142, 73, 714 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 964, 142, 73, 714 is 1.
Therefore, GCD of numbers 964, 142, 73, 714 is 1
Given Input Data is 964, 142, 73, 714
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 964 is 2 x 2 x 241
Prime Factorization of 142 is 2 x 71
Prime Factorization of 73 is 73
Prime Factorization of 714 is 2 x 3 x 7 x 17
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(964, 142) = 68444
GCD(964, 142) = ( 964 x 142 ) / 68444
GCD(964, 142) = 136888 / 68444
GCD(964, 142) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 73) = 146
GCD(2, 73) = ( 2 x 73 ) / 146
GCD(2, 73) = 146 / 146
GCD(2, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 714
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 714) = 714
GCD(1, 714) = ( 1 x 714 ) / 714
GCD(1, 714) = 714 / 714
GCD(1, 714) = 1
GCD of 964, 142, 73, 714 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 964, 142, 73, 714?
GCD of 964, 142, 73, 714 is 1
2. Where do I get the detailed procedure to find GCD of 964, 142, 73, 714?
You can find a detailed procedure to find GCD of 964, 142, 73, 714 on our page.
3. How to find GCD of 964, 142, 73, 714 on a calculator?
You can find the GCD of 964, 142, 73, 714 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.