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 711, 757, 53, 949 i.e. 1 largest integer that divides all the numbers equally.
GCD of 711, 757, 53, 949 is 1
GCD(711, 757, 53, 949) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 711, 757, 53, 949 is 1
GCD(711, 757, 53, 949) = 1
Given Input numbers are 711, 757, 53, 949
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 53
List of positive integer divisors of 53 that divides 53 without a remainder.
1, 53
Divisors of 949
List of positive integer divisors of 949 that divides 949 without a remainder.
1, 13, 73, 949
Greatest Common Divisior
We found the divisors of 711, 757, 53, 949 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 711, 757, 53, 949 is 1.
Therefore, GCD of numbers 711, 757, 53, 949 is 1
Given Input Data is 711, 757, 53, 949
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 757 is 757
Prime Factorization of 53 is 53
Prime Factorization of 949 is 13 x 73
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(711, 757) = 538227
GCD(711, 757) = ( 711 x 757 ) / 538227
GCD(711, 757) = 538227 / 538227
GCD(711, 757) = 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 949
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 949) = 949
GCD(1, 949) = ( 1 x 949 ) / 949
GCD(1, 949) = 949 / 949
GCD(1, 949) = 1
GCD of 711, 757, 53, 949 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 711, 757, 53, 949?
GCD of 711, 757, 53, 949 is 1
2. Where do I get the detailed procedure to find GCD of 711, 757, 53, 949?
You can find a detailed procedure to find GCD of 711, 757, 53, 949 on our page.
3. How to find GCD of 711, 757, 53, 949 on a calculator?
You can find the GCD of 711, 757, 53, 949 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.