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 747, 913, 737, 161 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 913, 737, 161 is 1
GCD(747, 913, 737, 161) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 913, 737, 161 is 1
GCD(747, 913, 737, 161) = 1
Given Input numbers are 747, 913, 737, 161
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 161
List of positive integer divisors of 161 that divides 161 without a remainder.
1, 7, 23, 161
Greatest Common Divisior
We found the divisors of 747, 913, 737, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 913, 737, 161 is 1.
Therefore, GCD of numbers 747, 913, 737, 161 is 1
Given Input Data is 747, 913, 737, 161
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 913 is 11 x 83
Prime Factorization of 737 is 11 x 67
Prime Factorization of 161 is 7 x 23
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(747, 913) = 8217
GCD(747, 913) = ( 747 x 913 ) / 8217
GCD(747, 913) = 682011 / 8217
GCD(747, 913) = 83
Step2:
Here we consider the GCD from the above i.e. 83 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(83, 737) = 61171
GCD(83, 737) = ( 83 x 737 ) / 61171
GCD(83, 737) = 61171 / 61171
GCD(83, 737) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 161
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 161) = 161
GCD(1, 161) = ( 1 x 161 ) / 161
GCD(1, 161) = 161 / 161
GCD(1, 161) = 1
GCD of 747, 913, 737, 161 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 913, 737, 161?
GCD of 747, 913, 737, 161 is 1
2. Where do I get the detailed procedure to find GCD of 747, 913, 737, 161?
You can find a detailed procedure to find GCD of 747, 913, 737, 161 on our page.
3. How to find GCD of 747, 913, 737, 161 on a calculator?
You can find the GCD of 747, 913, 737, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.