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 207, 840, 82, 200 i.e. 1 largest integer that divides all the numbers equally.
GCD of 207, 840, 82, 200 is 1
GCD(207, 840, 82, 200) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 840, 82, 200 is 1
GCD(207, 840, 82, 200) = 1
Given Input numbers are 207, 840, 82, 200
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 82
List of positive integer divisors of 82 that divides 82 without a remainder.
1, 2, 41, 82
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Greatest Common Divisior
We found the divisors of 207, 840, 82, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 840, 82, 200 is 1.
Therefore, GCD of numbers 207, 840, 82, 200 is 1
Given Input Data is 207, 840, 82, 200
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 82 is 2 x 41
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
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(207, 840) = 57960
GCD(207, 840) = ( 207 x 840 ) / 57960
GCD(207, 840) = 173880 / 57960
GCD(207, 840) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 82
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 82) = 246
GCD(3, 82) = ( 3 x 82 ) / 246
GCD(3, 82) = 246 / 246
GCD(3, 82) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
GCD of 207, 840, 82, 200 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 840, 82, 200?
GCD of 207, 840, 82, 200 is 1
2. Where do I get the detailed procedure to find GCD of 207, 840, 82, 200?
You can find a detailed procedure to find GCD of 207, 840, 82, 200 on our page.
3. How to find GCD of 207, 840, 82, 200 on a calculator?
You can find the GCD of 207, 840, 82, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.