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, 302, 57, 981 i.e. 1 largest integer that divides all the numbers equally.
GCD of 752, 302, 57, 981 is 1
GCD(752, 302, 57, 981) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 752, 302, 57, 981 is 1
GCD(752, 302, 57, 981) = 1
Given Input numbers are 752, 302, 57, 981
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 302
List of positive integer divisors of 302 that divides 302 without a remainder.
1, 2, 151, 302
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 981
List of positive integer divisors of 981 that divides 981 without a remainder.
1, 3, 9, 109, 327, 981
Greatest Common Divisior
We found the divisors of 752, 302, 57, 981 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 752, 302, 57, 981 is 1.
Therefore, GCD of numbers 752, 302, 57, 981 is 1
Given Input Data is 752, 302, 57, 981
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 302 is 2 x 151
Prime Factorization of 57 is 3 x 19
Prime Factorization of 981 is 3 x 3 x 109
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, 302) = 113552
GCD(752, 302) = ( 752 x 302 ) / 113552
GCD(752, 302) = 227104 / 113552
GCD(752, 302) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 981
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 981) = 981
GCD(1, 981) = ( 1 x 981 ) / 981
GCD(1, 981) = 981 / 981
GCD(1, 981) = 1
GCD of 752, 302, 57, 981 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 752, 302, 57, 981?
GCD of 752, 302, 57, 981 is 1
2. Where do I get the detailed procedure to find GCD of 752, 302, 57, 981?
You can find a detailed procedure to find GCD of 752, 302, 57, 981 on our page.
3. How to find GCD of 752, 302, 57, 981 on a calculator?
You can find the GCD of 752, 302, 57, 981 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.