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, 737, 750, 821 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 737, 750, 821 is 1
GCD(752, 737, 750, 821) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 737, 750, 821 is 1
GCD(752, 737, 750, 821) = 1
Given Input numbers are 752, 737, 750, 821
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 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 821
List of positive integer divisors of 821 that divides 821 without a remainder.
1, 821
Greatest Common Divisior
We found the divisors of 752, 737, 750, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 737, 750, 821 is 1.
Therefore, GCD of numbers 752, 737, 750, 821 is 1
Given Input Data is 752, 737, 750, 821
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 737 is 11 x 67
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 821 is 821
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, 737) = 554224
GCD(752, 737) = ( 752 x 737 ) / 554224
GCD(752, 737) = 554224 / 554224
GCD(752, 737) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 750
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 750) = 750
GCD(1, 750) = ( 1 x 750 ) / 750
GCD(1, 750) = 750 / 750
GCD(1, 750) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 821
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 821) = 821
GCD(1, 821) = ( 1 x 821 ) / 821
GCD(1, 821) = 821 / 821
GCD(1, 821) = 1
GCD of 752, 737, 750, 821 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 737, 750, 821?
GCD of 752, 737, 750, 821 is 1
2. Where do I get the detailed procedure to find GCD of 752, 737, 750, 821?
You can find a detailed procedure to find GCD of 752, 737, 750, 821 on our page.
3. How to find GCD of 752, 737, 750, 821 on a calculator?
You can find the GCD of 752, 737, 750, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.