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 145, 664, 966, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 145, 664, 966, 737 is 1
GCD(145, 664, 966, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 145, 664, 966, 737 is 1
GCD(145, 664, 966, 737) = 1
Given Input numbers are 145, 664, 966, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 145
List of positive integer divisors of 145 that divides 145 without a remainder.
1, 5, 29, 145
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 966
List of positive integer divisors of 966 that divides 966 without a remainder.
1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 145, 664, 966, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 664, 966, 737 is 1.
Therefore, GCD of numbers 145, 664, 966, 737 is 1
Given Input Data is 145, 664, 966, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 145 is 5 x 29
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 966 is 2 x 3 x 7 x 23
Prime Factorization of 737 is 11 x 67
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(145, 664) = 96280
GCD(145, 664) = ( 145 x 664 ) / 96280
GCD(145, 664) = 96280 / 96280
GCD(145, 664) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 966
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 966) = 966
GCD(1, 966) = ( 1 x 966 ) / 966
GCD(1, 966) = 966 / 966
GCD(1, 966) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
GCD of 145, 664, 966, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 145, 664, 966, 737?
GCD of 145, 664, 966, 737 is 1
2. Where do I get the detailed procedure to find GCD of 145, 664, 966, 737?
You can find a detailed procedure to find GCD of 145, 664, 966, 737 on our page.
3. How to find GCD of 145, 664, 966, 737 on a calculator?
You can find the GCD of 145, 664, 966, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.