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 753, 758, 91, 784 i.e. 1 largest integer that divides all the numbers equally.
GCD of 753, 758, 91, 784 is 1
GCD(753, 758, 91, 784) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 753, 758, 91, 784 is 1
GCD(753, 758, 91, 784) = 1
Given Input numbers are 753, 758, 91, 784
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 784
List of positive integer divisors of 784 that divides 784 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Greatest Common Divisior
We found the divisors of 753, 758, 91, 784 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 758, 91, 784 is 1.
Therefore, GCD of numbers 753, 758, 91, 784 is 1
Given Input Data is 753, 758, 91, 784
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 753 is 3 x 251
Prime Factorization of 758 is 2 x 379
Prime Factorization of 91 is 7 x 13
Prime Factorization of 784 is 2 x 2 x 2 x 2 x 7 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(753, 758) = 570774
GCD(753, 758) = ( 753 x 758 ) / 570774
GCD(753, 758) = 570774 / 570774
GCD(753, 758) = 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 784
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
GCD(1, 784) = 784 / 784
GCD(1, 784) = 1
GCD of 753, 758, 91, 784 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 753, 758, 91, 784?
GCD of 753, 758, 91, 784 is 1
2. Where do I get the detailed procedure to find GCD of 753, 758, 91, 784?
You can find a detailed procedure to find GCD of 753, 758, 91, 784 on our page.
3. How to find GCD of 753, 758, 91, 784 on a calculator?
You can find the GCD of 753, 758, 91, 784 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.