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, 399, 951 i.e. 3 largest integer that divides all the numbers equally.
GCD of 207, 399, 951 is 3
GCD(207, 399, 951) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 399, 951 is 3
GCD(207, 399, 951) = 3
Given Input numbers are 207, 399, 951
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 399
List of positive integer divisors of 399 that divides 399 without a remainder.
1, 3, 7, 19, 21, 57, 133, 399
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Greatest Common Divisior
We found the divisors of 207, 399, 951 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 399, 951 is 3.
Therefore, GCD of numbers 207, 399, 951 is 3
Given Input Data is 207, 399, 951
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 399 is 3 x 7 x 19
Prime Factorization of 951 is 3 x 317
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
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, 399) = 27531
GCD(207, 399) = ( 207 x 399 ) / 27531
GCD(207, 399) = 82593 / 27531
GCD(207, 399) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 951
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 951) = 951
GCD(3, 951) = ( 3 x 951 ) / 951
GCD(3, 951) = 2853 / 951
GCD(3, 951) = 3
GCD of 207, 399, 951 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 399, 951?
GCD of 207, 399, 951 is 3
2. Where do I get the detailed procedure to find GCD of 207, 399, 951?
You can find a detailed procedure to find GCD of 207, 399, 951 on our page.
3. How to find GCD of 207, 399, 951 on a calculator?
You can find the GCD of 207, 399, 951 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.