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 140, 633, 14, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 140, 633, 14, 666 is 1
GCD(140, 633, 14, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 140, 633, 14, 666 is 1
GCD(140, 633, 14, 666) = 1
Given Input numbers are 140, 633, 14, 666
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 14
List of positive integer divisors of 14 that divides 14 without a remainder.
1, 2, 7, 14
Divisors of 666
List of positive integer divisors of 666 that divides 666 without a remainder.
1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
Greatest Common Divisior
We found the divisors of 140, 633, 14, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 140, 633, 14, 666 is 1.
Therefore, GCD of numbers 140, 633, 14, 666 is 1
Given Input Data is 140, 633, 14, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 140 is 2 x 2 x 5 x 7
Prime Factorization of 633 is 3 x 211
Prime Factorization of 14 is 2 x 7
Prime Factorization of 666 is 2 x 3 x 3 x 37
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(140, 633) = 88620
GCD(140, 633) = ( 140 x 633 ) / 88620
GCD(140, 633) = 88620 / 88620
GCD(140, 633) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 14
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 14) = 14
GCD(1, 14) = ( 1 x 14 ) / 14
GCD(1, 14) = 14 / 14
GCD(1, 14) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 666
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 666) = 666
GCD(1, 666) = ( 1 x 666 ) / 666
GCD(1, 666) = 666 / 666
GCD(1, 666) = 1
GCD of 140, 633, 14, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 140, 633, 14, 666?
GCD of 140, 633, 14, 666 is 1
2. Where do I get the detailed procedure to find GCD of 140, 633, 14, 666?
You can find a detailed procedure to find GCD of 140, 633, 14, 666 on our page.
3. How to find GCD of 140, 633, 14, 666 on a calculator?
You can find the GCD of 140, 633, 14, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.