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 49, 412, 207, 745 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 412, 207, 745 is 1
GCD(49, 412, 207, 745) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 412, 207, 745 is 1
GCD(49, 412, 207, 745) = 1
Given Input numbers are 49, 412, 207, 745
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 412
List of positive integer divisors of 412 that divides 412 without a remainder.
1, 2, 4, 103, 206, 412
Divisors of 207
List of positive integer divisors of 207 that divides 207 without a remainder.
1, 3, 9, 23, 69, 207
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Greatest Common Divisior
We found the divisors of 49, 412, 207, 745 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 412, 207, 745 is 1.
Therefore, GCD of numbers 49, 412, 207, 745 is 1
Given Input Data is 49, 412, 207, 745
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 412 is 2 x 2 x 103
Prime Factorization of 207 is 3 x 3 x 23
Prime Factorization of 745 is 5 x 149
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(49, 412) = 20188
GCD(49, 412) = ( 49 x 412 ) / 20188
GCD(49, 412) = 20188 / 20188
GCD(49, 412) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 207
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 207) = 207
GCD(1, 207) = ( 1 x 207 ) / 207
GCD(1, 207) = 207 / 207
GCD(1, 207) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 745
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
GCD(1, 745) = 745 / 745
GCD(1, 745) = 1
GCD of 49, 412, 207, 745 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 412, 207, 745?
GCD of 49, 412, 207, 745 is 1
2. Where do I get the detailed procedure to find GCD of 49, 412, 207, 745?
You can find a detailed procedure to find GCD of 49, 412, 207, 745 on our page.
3. How to find GCD of 49, 412, 207, 745 on a calculator?
You can find the GCD of 49, 412, 207, 745 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.