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 266, 152, 48, 711 i.e. 1 largest integer that divides all the numbers equally.
GCD of 266, 152, 48, 711 is 1
GCD(266, 152, 48, 711) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 266, 152, 48, 711 is 1
GCD(266, 152, 48, 711) = 1
Given Input numbers are 266, 152, 48, 711
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 266
List of positive integer divisors of 266 that divides 266 without a remainder.
1, 2, 7, 14, 19, 38, 133, 266
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Greatest Common Divisior
We found the divisors of 266, 152, 48, 711 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 266, 152, 48, 711 is 1.
Therefore, GCD of numbers 266, 152, 48, 711 is 1
Given Input Data is 266, 152, 48, 711
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 266 is 2 x 7 x 19
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 711 is 3 x 3 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(266, 152) = 1064
GCD(266, 152) = ( 266 x 152 ) / 1064
GCD(266, 152) = 40432 / 1064
GCD(266, 152) = 38
Step2:
Here we consider the GCD from the above i.e. 38 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(38, 48) = 912
GCD(38, 48) = ( 38 x 48 ) / 912
GCD(38, 48) = 1824 / 912
GCD(38, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 711
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 711) = 1422
GCD(2, 711) = ( 2 x 711 ) / 1422
GCD(2, 711) = 1422 / 1422
GCD(2, 711) = 1
GCD of 266, 152, 48, 711 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 266, 152, 48, 711?
GCD of 266, 152, 48, 711 is 1
2. Where do I get the detailed procedure to find GCD of 266, 152, 48, 711?
You can find a detailed procedure to find GCD of 266, 152, 48, 711 on our page.
3. How to find GCD of 266, 152, 48, 711 on a calculator?
You can find the GCD of 266, 152, 48, 711 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.