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 30, 962, 267, 773 i.e. 1 largest integer that divides all the numbers equally.
GCD of 30, 962, 267, 773 is 1
GCD(30, 962, 267, 773) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 30, 962, 267, 773 is 1
GCD(30, 962, 267, 773) = 1
Given Input numbers are 30, 962, 267, 773
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 30
List of positive integer divisors of 30 that divides 30 without a remainder.
1, 2, 3, 5, 6, 10, 15, 30
Divisors of 962
List of positive integer divisors of 962 that divides 962 without a remainder.
1, 2, 13, 26, 37, 74, 481, 962
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 773
List of positive integer divisors of 773 that divides 773 without a remainder.
1, 773
Greatest Common Divisior
We found the divisors of 30, 962, 267, 773 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 30, 962, 267, 773 is 1.
Therefore, GCD of numbers 30, 962, 267, 773 is 1
Given Input Data is 30, 962, 267, 773
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 30 is 2 x 3 x 5
Prime Factorization of 962 is 2 x 13 x 37
Prime Factorization of 267 is 3 x 89
Prime Factorization of 773 is 773
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(30, 962) = 14430
GCD(30, 962) = ( 30 x 962 ) / 14430
GCD(30, 962) = 28860 / 14430
GCD(30, 962) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 267) = 534
GCD(2, 267) = ( 2 x 267 ) / 534
GCD(2, 267) = 534 / 534
GCD(2, 267) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 773
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 773) = 773
GCD(1, 773) = ( 1 x 773 ) / 773
GCD(1, 773) = 773 / 773
GCD(1, 773) = 1
GCD of 30, 962, 267, 773 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 30, 962, 267, 773?
GCD of 30, 962, 267, 773 is 1
2. Where do I get the detailed procedure to find GCD of 30, 962, 267, 773?
You can find a detailed procedure to find GCD of 30, 962, 267, 773 on our page.
3. How to find GCD of 30, 962, 267, 773 on a calculator?
You can find the GCD of 30, 962, 267, 773 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.