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 734, 955, 91, 462 i.e. 1 largest integer that divides all the numbers equally.
GCD of 734, 955, 91, 462 is 1
GCD(734, 955, 91, 462) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 734, 955, 91, 462 is 1
GCD(734, 955, 91, 462) = 1
Given Input numbers are 734, 955, 91, 462
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 734
List of positive integer divisors of 734 that divides 734 without a remainder.
1, 2, 367, 734
Divisors of 955
List of positive integer divisors of 955 that divides 955 without a remainder.
1, 5, 191, 955
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 462
List of positive integer divisors of 462 that divides 462 without a remainder.
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
Greatest Common Divisior
We found the divisors of 734, 955, 91, 462 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 734, 955, 91, 462 is 1.
Therefore, GCD of numbers 734, 955, 91, 462 is 1
Given Input Data is 734, 955, 91, 462
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 734 is 2 x 367
Prime Factorization of 955 is 5 x 191
Prime Factorization of 91 is 7 x 13
Prime Factorization of 462 is 2 x 3 x 7 x 11
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(734, 955) = 700970
GCD(734, 955) = ( 734 x 955 ) / 700970
GCD(734, 955) = 700970 / 700970
GCD(734, 955) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 91) = 91
GCD(1, 91) = ( 1 x 91 ) / 91
GCD(1, 91) = 91 / 91
GCD(1, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 462
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 462) = 462
GCD(1, 462) = ( 1 x 462 ) / 462
GCD(1, 462) = 462 / 462
GCD(1, 462) = 1
GCD of 734, 955, 91, 462 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 734, 955, 91, 462?
GCD of 734, 955, 91, 462 is 1
2. Where do I get the detailed procedure to find GCD of 734, 955, 91, 462?
You can find a detailed procedure to find GCD of 734, 955, 91, 462 on our page.
3. How to find GCD of 734, 955, 91, 462 on a calculator?
You can find the GCD of 734, 955, 91, 462 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.