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 760, 530, 53, 963 i.e. 1 largest integer that divides all the numbers equally.
GCD of 760, 530, 53, 963 is 1
GCD(760, 530, 53, 963) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 760, 530, 53, 963 is 1
GCD(760, 530, 53, 963) = 1
Given Input numbers are 760, 530, 53, 963
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 760
List of positive integer divisors of 760 that divides 760 without a remainder.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 530
List of positive integer divisors of 530 that divides 530 without a remainder.
1, 2, 5, 10, 53, 106, 265, 530
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 963
List of positive integer divisors of 963 that divides 963 without a remainder.
1, 3, 9, 107, 321, 963
Greatest Common Divisior
We found the divisors of 760, 530, 53, 963 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 760, 530, 53, 963 is 1.
Therefore, GCD of numbers 760, 530, 53, 963 is 1
Given Input Data is 760, 530, 53, 963
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 760 is 2 x 2 x 2 x 5 x 19
Prime Factorization of 530 is 2 x 5 x 53
Prime Factorization of 53 is 53
Prime Factorization of 963 is 3 x 3 x 107
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(760, 530) = 40280
GCD(760, 530) = ( 760 x 530 ) / 40280
GCD(760, 530) = 402800 / 40280
GCD(760, 530) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 53) = 530
GCD(10, 53) = ( 10 x 53 ) / 530
GCD(10, 53) = 530 / 530
GCD(10, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 963
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 963) = 963
GCD(1, 963) = ( 1 x 963 ) / 963
GCD(1, 963) = 963 / 963
GCD(1, 963) = 1
GCD of 760, 530, 53, 963 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 760, 530, 53, 963?
GCD of 760, 530, 53, 963 is 1
2. Where do I get the detailed procedure to find GCD of 760, 530, 53, 963?
You can find a detailed procedure to find GCD of 760, 530, 53, 963 on our page.
3. How to find GCD of 760, 530, 53, 963 on a calculator?
You can find the GCD of 760, 530, 53, 963 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.