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 296, 763, 53, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 296, 763, 53, 553 is 1
GCD(296, 763, 53, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 296, 763, 53, 553 is 1
GCD(296, 763, 53, 553) = 1
Given Input numbers are 296, 763, 53, 553
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 296
List of positive integer divisors of 296 that divides 296 without a remainder.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 296, 763, 53, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 296, 763, 53, 553 is 1.
Therefore, GCD of numbers 296, 763, 53, 553 is 1
Given Input Data is 296, 763, 53, 553
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 296 is 2 x 2 x 2 x 37
Prime Factorization of 763 is 7 x 109
Prime Factorization of 53 is 53
Prime Factorization of 553 is 7 x 79
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(296, 763) = 225848
GCD(296, 763) = ( 296 x 763 ) / 225848
GCD(296, 763) = 225848 / 225848
GCD(296, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 53
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 53) = 53
GCD(1, 53) = ( 1 x 53 ) / 53
GCD(1, 53) = 53 / 53
GCD(1, 53) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 553) = 553
GCD(1, 553) = ( 1 x 553 ) / 553
GCD(1, 553) = 553 / 553
GCD(1, 553) = 1
GCD of 296, 763, 53, 553 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 296, 763, 53, 553?
GCD of 296, 763, 53, 553 is 1
2. Where do I get the detailed procedure to find GCD of 296, 763, 53, 553?
You can find a detailed procedure to find GCD of 296, 763, 53, 553 on our page.
3. How to find GCD of 296, 763, 53, 553 on a calculator?
You can find the GCD of 296, 763, 53, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.