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 737, 466, 131, 674 i.e. 1 largest integer that divides all the numbers equally.
GCD of 737, 466, 131, 674 is 1
GCD(737, 466, 131, 674) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 737, 466, 131, 674 is 1
GCD(737, 466, 131, 674) = 1
Given Input numbers are 737, 466, 131, 674
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 131
List of positive integer divisors of 131 that divides 131 without a remainder.
1, 131
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Greatest Common Divisior
We found the divisors of 737, 466, 131, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 466, 131, 674 is 1.
Therefore, GCD of numbers 737, 466, 131, 674 is 1
Given Input Data is 737, 466, 131, 674
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 737 is 11 x 67
Prime Factorization of 466 is 2 x 233
Prime Factorization of 131 is 131
Prime Factorization of 674 is 2 x 337
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(737, 466) = 343442
GCD(737, 466) = ( 737 x 466 ) / 343442
GCD(737, 466) = 343442 / 343442
GCD(737, 466) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 131
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 131) = 131
GCD(1, 131) = ( 1 x 131 ) / 131
GCD(1, 131) = 131 / 131
GCD(1, 131) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 674
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
GCD(1, 674) = 674 / 674
GCD(1, 674) = 1
GCD of 737, 466, 131, 674 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 737, 466, 131, 674?
GCD of 737, 466, 131, 674 is 1
2. Where do I get the detailed procedure to find GCD of 737, 466, 131, 674?
You can find a detailed procedure to find GCD of 737, 466, 131, 674 on our page.
3. How to find GCD of 737, 466, 131, 674 on a calculator?
You can find the GCD of 737, 466, 131, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.