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 480, 158, 11, 762 i.e. 1 largest integer that divides all the numbers equally.
GCD of 480, 158, 11, 762 is 1
GCD(480, 158, 11, 762) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 480, 158, 11, 762 is 1
GCD(480, 158, 11, 762) = 1
Given Input numbers are 480, 158, 11, 762
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 480
List of positive integer divisors of 480 that divides 480 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
Divisors of 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 11
List of positive integer divisors of 11 that divides 11 without a remainder.
1, 11
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Greatest Common Divisior
We found the divisors of 480, 158, 11, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 480, 158, 11, 762 is 1.
Therefore, GCD of numbers 480, 158, 11, 762 is 1
Given Input Data is 480, 158, 11, 762
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 480 is 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 158 is 2 x 79
Prime Factorization of 11 is 11
Prime Factorization of 762 is 2 x 3 x 127
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(480, 158) = 37920
GCD(480, 158) = ( 480 x 158 ) / 37920
GCD(480, 158) = 75840 / 37920
GCD(480, 158) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 11
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 11) = 22
GCD(2, 11) = ( 2 x 11 ) / 22
GCD(2, 11) = 22 / 22
GCD(2, 11) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 762
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 762) = 762
GCD(1, 762) = ( 1 x 762 ) / 762
GCD(1, 762) = 762 / 762
GCD(1, 762) = 1
GCD of 480, 158, 11, 762 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 480, 158, 11, 762?
GCD of 480, 158, 11, 762 is 1
2. Where do I get the detailed procedure to find GCD of 480, 158, 11, 762?
You can find a detailed procedure to find GCD of 480, 158, 11, 762 on our page.
3. How to find GCD of 480, 158, 11, 762 on a calculator?
You can find the GCD of 480, 158, 11, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.