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, 306, 650, 667 i.e. 1 largest integer that divides all the numbers equally.
GCD of 701, 306, 650, 667 is 1
GCD(701, 306, 650, 667) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 701, 306, 650, 667 is 1
GCD(701, 306, 650, 667) = 1
Given Input numbers are 701, 306, 650, 667
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 306
List of positive integer divisors of 306 that divides 306 without a remainder.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Greatest Common Divisior
We found the divisors of 701, 306, 650, 667 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 701, 306, 650, 667 is 1.
Therefore, GCD of numbers 701, 306, 650, 667 is 1
Given Input Data is 701, 306, 650, 667
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 701 is 701
Prime Factorization of 306 is 2 x 3 x 3 x 17
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 667 is 23 x 29
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, 306) = 214506
GCD(701, 306) = ( 701 x 306 ) / 214506
GCD(701, 306) = 214506 / 214506
GCD(701, 306) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 667) = 667
GCD(1, 667) = ( 1 x 667 ) / 667
GCD(1, 667) = 667 / 667
GCD(1, 667) = 1
GCD of 701, 306, 650, 667 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 701, 306, 650, 667?
GCD of 701, 306, 650, 667 is 1
2. Where do I get the detailed procedure to find GCD of 701, 306, 650, 667?
You can find a detailed procedure to find GCD of 701, 306, 650, 667 on our page.
3. How to find GCD of 701, 306, 650, 667 on a calculator?
You can find the GCD of 701, 306, 650, 667 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.