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, 361, 222, 924 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 361, 222, 924 is 1
GCD(747, 361, 222, 924) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 361, 222, 924 is 1
GCD(747, 361, 222, 924) = 1
Given Input numbers are 747, 361, 222, 924
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 361
List of positive integer divisors of 361 that divides 361 without a remainder.
1, 19, 361
Divisors of 222
List of positive integer divisors of 222 that divides 222 without a remainder.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 924
List of positive integer divisors of 924 that divides 924 without a remainder.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Greatest Common Divisior
We found the divisors of 747, 361, 222, 924 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 361, 222, 924 is 1.
Therefore, GCD of numbers 747, 361, 222, 924 is 1
Given Input Data is 747, 361, 222, 924
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 361 is 19 x 19
Prime Factorization of 222 is 2 x 3 x 37
Prime Factorization of 924 is 2 x 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(747, 361) = 269667
GCD(747, 361) = ( 747 x 361 ) / 269667
GCD(747, 361) = 269667 / 269667
GCD(747, 361) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 222
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 222) = 222
GCD(1, 222) = ( 1 x 222 ) / 222
GCD(1, 222) = 222 / 222
GCD(1, 222) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 924
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 924) = 924
GCD(1, 924) = ( 1 x 924 ) / 924
GCD(1, 924) = 924 / 924
GCD(1, 924) = 1
GCD of 747, 361, 222, 924 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 361, 222, 924?
GCD of 747, 361, 222, 924 is 1
2. Where do I get the detailed procedure to find GCD of 747, 361, 222, 924?
You can find a detailed procedure to find GCD of 747, 361, 222, 924 on our page.
3. How to find GCD of 747, 361, 222, 924 on a calculator?
You can find the GCD of 747, 361, 222, 924 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.