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, 134, 55, 505 i.e. 1 largest integer that divides all the numbers equally.
GCD of 207, 134, 55, 505 is 1
GCD(207, 134, 55, 505) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 207, 134, 55, 505 is 1
GCD(207, 134, 55, 505) = 1
Given Input numbers are 207, 134, 55, 505
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 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
Divisors of 505
List of positive integer divisors of 505 that divides 505 without a remainder.
1, 5, 101, 505
Greatest Common Divisior
We found the divisors of 207, 134, 55, 505 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 207, 134, 55, 505 is 1.
Therefore, GCD of numbers 207, 134, 55, 505 is 1
Given Input Data is 207, 134, 55, 505
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 134 is 2 x 67
Prime Factorization of 55 is 5 x 11
Prime Factorization of 505 is 5 x 101
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, 134) = 27738
GCD(207, 134) = ( 207 x 134 ) / 27738
GCD(207, 134) = 27738 / 27738
GCD(207, 134) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 55
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 55) = 55
GCD(1, 55) = ( 1 x 55 ) / 55
GCD(1, 55) = 55 / 55
GCD(1, 55) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 505
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 505) = 505
GCD(1, 505) = ( 1 x 505 ) / 505
GCD(1, 505) = 505 / 505
GCD(1, 505) = 1
GCD of 207, 134, 55, 505 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 207, 134, 55, 505?
GCD of 207, 134, 55, 505 is 1
2. Where do I get the detailed procedure to find GCD of 207, 134, 55, 505?
You can find a detailed procedure to find GCD of 207, 134, 55, 505 on our page.
3. How to find GCD of 207, 134, 55, 505 on a calculator?
You can find the GCD of 207, 134, 55, 505 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.