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, 456, 196, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 207, 456, 196, 203 is 1
GCD(207, 456, 196, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 456, 196, 203 is 1
GCD(207, 456, 196, 203) = 1
Given Input numbers are 207, 456, 196, 203
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 456
List of positive integer divisors of 456 that divides 456 without a remainder.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 207, 456, 196, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 456, 196, 203 is 1.
Therefore, GCD of numbers 207, 456, 196, 203 is 1
Given Input Data is 207, 456, 196, 203
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 456 is 2 x 2 x 2 x 3 x 19
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 203 is 7 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(207, 456) = 31464
GCD(207, 456) = ( 207 x 456 ) / 31464
GCD(207, 456) = 94392 / 31464
GCD(207, 456) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 196
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 196) = 588
GCD(3, 196) = ( 3 x 196 ) / 588
GCD(3, 196) = 588 / 588
GCD(3, 196) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
GCD of 207, 456, 196, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 456, 196, 203?
GCD of 207, 456, 196, 203 is 1
2. Where do I get the detailed procedure to find GCD of 207, 456, 196, 203?
You can find a detailed procedure to find GCD of 207, 456, 196, 203 on our page.
3. How to find GCD of 207, 456, 196, 203 on a calculator?
You can find the GCD of 207, 456, 196, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.