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 701, 100, 24, 666 i.e. 1 largest integer that divides all the numbers equally.
GCD of 701, 100, 24, 666 is 1
GCD(701, 100, 24, 666) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 701, 100, 24, 666 is 1
GCD(701, 100, 24, 666) = 1
Given Input numbers are 701, 100, 24, 666
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 24
List of positive integer divisors of 24 that divides 24 without a remainder.
1, 2, 3, 4, 6, 8, 12, 24
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 701, 100, 24, 666 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 100, 24, 666 is 1.
Therefore, GCD of numbers 701, 100, 24, 666 is 1
Given Input Data is 701, 100, 24, 666
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 701 is 701
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 24 is 2 x 2 x 2 x 3
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(701, 100) = 70100
GCD(701, 100) = ( 701 x 100 ) / 70100
GCD(701, 100) = 70100 / 70100
GCD(701, 100) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 24
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 24) = 24
GCD(1, 24) = ( 1 x 24 ) / 24
GCD(1, 24) = 24 / 24
GCD(1, 24) = 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 701, 100, 24, 666 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 701, 100, 24, 666?
GCD of 701, 100, 24, 666 is 1
2. Where do I get the detailed procedure to find GCD of 701, 100, 24, 666?
You can find a detailed procedure to find GCD of 701, 100, 24, 666 on our page.
3. How to find GCD of 701, 100, 24, 666 on a calculator?
You can find the GCD of 701, 100, 24, 666 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.