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 752, 470, 91, 445 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 470, 91, 445 is 1
GCD(752, 470, 91, 445) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 470, 91, 445 is 1
GCD(752, 470, 91, 445) = 1
Given Input numbers are 752, 470, 91, 445
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 470
List of positive integer divisors of 470 that divides 470 without a remainder.
1, 2, 5, 10, 47, 94, 235, 470
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 445
List of positive integer divisors of 445 that divides 445 without a remainder.
1, 5, 89, 445
Greatest Common Divisior
We found the divisors of 752, 470, 91, 445 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 470, 91, 445 is 1.
Therefore, GCD of numbers 752, 470, 91, 445 is 1
Given Input Data is 752, 470, 91, 445
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 470 is 2 x 5 x 47
Prime Factorization of 91 is 7 x 13
Prime Factorization of 445 is 5 x 89
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(752, 470) = 3760
GCD(752, 470) = ( 752 x 470 ) / 3760
GCD(752, 470) = 353440 / 3760
GCD(752, 470) = 94
Step2:
Here we consider the GCD from the above i.e. 94 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(94, 91) = 8554
GCD(94, 91) = ( 94 x 91 ) / 8554
GCD(94, 91) = 8554 / 8554
GCD(94, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 445
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 445) = 445
GCD(1, 445) = ( 1 x 445 ) / 445
GCD(1, 445) = 445 / 445
GCD(1, 445) = 1
GCD of 752, 470, 91, 445 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 470, 91, 445?
GCD of 752, 470, 91, 445 is 1
2. Where do I get the detailed procedure to find GCD of 752, 470, 91, 445?
You can find a detailed procedure to find GCD of 752, 470, 91, 445 on our page.
3. How to find GCD of 752, 470, 91, 445 on a calculator?
You can find the GCD of 752, 470, 91, 445 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.