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 224, 745, 19, 765 i.e. 1 largest integer that divides all the numbers equally.
GCD of 224, 745, 19, 765 is 1
GCD(224, 745, 19, 765) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 224, 745, 19, 765 is 1
GCD(224, 745, 19, 765) = 1
Given Input numbers are 224, 745, 19, 765
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 19
List of positive integer divisors of 19 that divides 19 without a remainder.
1, 19
Divisors of 765
List of positive integer divisors of 765 that divides 765 without a remainder.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Greatest Common Divisior
We found the divisors of 224, 745, 19, 765 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 224, 745, 19, 765 is 1.
Therefore, GCD of numbers 224, 745, 19, 765 is 1
Given Input Data is 224, 745, 19, 765
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 745 is 5 x 149
Prime Factorization of 19 is 19
Prime Factorization of 765 is 3 x 3 x 5 x 17
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(224, 745) = 166880
GCD(224, 745) = ( 224 x 745 ) / 166880
GCD(224, 745) = 166880 / 166880
GCD(224, 745) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 19
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 19) = 19
GCD(1, 19) = ( 1 x 19 ) / 19
GCD(1, 19) = 19 / 19
GCD(1, 19) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 765
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
GCD(1, 765) = 765 / 765
GCD(1, 765) = 1
GCD of 224, 745, 19, 765 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 224, 745, 19, 765?
GCD of 224, 745, 19, 765 is 1
2. Where do I get the detailed procedure to find GCD of 224, 745, 19, 765?
You can find a detailed procedure to find GCD of 224, 745, 19, 765 on our page.
3. How to find GCD of 224, 745, 19, 765 on a calculator?
You can find the GCD of 224, 745, 19, 765 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.