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, 749, 691, 466 i.e. 1 largest integer that divides all the numbers equally.
GCD of 737, 749, 691, 466 is 1
GCD(737, 749, 691, 466) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 737, 749, 691, 466 is 1
GCD(737, 749, 691, 466) = 1
Given Input numbers are 737, 749, 691, 466
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 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 691
List of positive integer divisors of 691 that divides 691 without a remainder.
1, 691
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Greatest Common Divisior
We found the divisors of 737, 749, 691, 466 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 749, 691, 466 is 1.
Therefore, GCD of numbers 737, 749, 691, 466 is 1
Given Input Data is 737, 749, 691, 466
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 737 is 11 x 67
Prime Factorization of 749 is 7 x 107
Prime Factorization of 691 is 691
Prime Factorization of 466 is 2 x 233
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, 749) = 552013
GCD(737, 749) = ( 737 x 749 ) / 552013
GCD(737, 749) = 552013 / 552013
GCD(737, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 691
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 691) = 691
GCD(1, 691) = ( 1 x 691 ) / 691
GCD(1, 691) = 691 / 691
GCD(1, 691) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
GCD of 737, 749, 691, 466 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 737, 749, 691, 466?
GCD of 737, 749, 691, 466 is 1
2. Where do I get the detailed procedure to find GCD of 737, 749, 691, 466?
You can find a detailed procedure to find GCD of 737, 749, 691, 466 on our page.
3. How to find GCD of 737, 749, 691, 466 on a calculator?
You can find the GCD of 737, 749, 691, 466 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.