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 101, 702, 210, 671 i.e. 1 largest integer that divides all the numbers equally.
GCD of 101, 702, 210, 671 is 1
GCD(101, 702, 210, 671) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 101, 702, 210, 671 is 1
GCD(101, 702, 210, 671) = 1
Given Input numbers are 101, 702, 210, 671
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 101
List of positive integer divisors of 101 that divides 101 without a remainder.
1, 101
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 210
List of positive integer divisors of 210 that divides 210 without a remainder.
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
Divisors of 671
List of positive integer divisors of 671 that divides 671 without a remainder.
1, 11, 61, 671
Greatest Common Divisior
We found the divisors of 101, 702, 210, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 101, 702, 210, 671 is 1.
Therefore, GCD of numbers 101, 702, 210, 671 is 1
Given Input Data is 101, 702, 210, 671
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 101 is 101
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 210 is 2 x 3 x 5 x 7
Prime Factorization of 671 is 11 x 61
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(101, 702) = 70902
GCD(101, 702) = ( 101 x 702 ) / 70902
GCD(101, 702) = 70902 / 70902
GCD(101, 702) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 210
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 210) = 210
GCD(1, 210) = ( 1 x 210 ) / 210
GCD(1, 210) = 210 / 210
GCD(1, 210) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 671
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 671) = 671
GCD(1, 671) = ( 1 x 671 ) / 671
GCD(1, 671) = 671 / 671
GCD(1, 671) = 1
GCD of 101, 702, 210, 671 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 101, 702, 210, 671?
GCD of 101, 702, 210, 671 is 1
2. Where do I get the detailed procedure to find GCD of 101, 702, 210, 671?
You can find a detailed procedure to find GCD of 101, 702, 210, 671 on our page.
3. How to find GCD of 101, 702, 210, 671 on a calculator?
You can find the GCD of 101, 702, 210, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.