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 922, 105, 770, 224 i.e. 1 largest integer that divides all the numbers equally.
GCD of 922, 105, 770, 224 is 1
GCD(922, 105, 770, 224) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 922, 105, 770, 224 is 1
GCD(922, 105, 770, 224) = 1
Given Input numbers are 922, 105, 770, 224
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 922
List of positive integer divisors of 922 that divides 922 without a remainder.
1, 2, 461, 922
Divisors of 105
List of positive integer divisors of 105 that divides 105 without a remainder.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 224
List of positive integer divisors of 224 that divides 224 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Greatest Common Divisior
We found the divisors of 922, 105, 770, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 922, 105, 770, 224 is 1.
Therefore, GCD of numbers 922, 105, 770, 224 is 1
Given Input Data is 922, 105, 770, 224
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 922 is 2 x 461
Prime Factorization of 105 is 3 x 5 x 7
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
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(922, 105) = 96810
GCD(922, 105) = ( 922 x 105 ) / 96810
GCD(922, 105) = 96810 / 96810
GCD(922, 105) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 770
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 770) = 770
GCD(1, 770) = ( 1 x 770 ) / 770
GCD(1, 770) = 770 / 770
GCD(1, 770) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 224
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
GCD(1, 224) = 224 / 224
GCD(1, 224) = 1
GCD of 922, 105, 770, 224 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 922, 105, 770, 224?
GCD of 922, 105, 770, 224 is 1
2. Where do I get the detailed procedure to find GCD of 922, 105, 770, 224?
You can find a detailed procedure to find GCD of 922, 105, 770, 224 on our page.
3. How to find GCD of 922, 105, 770, 224 on a calculator?
You can find the GCD of 922, 105, 770, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.