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 57, 763, 150, 180 i.e. 1 largest integer that divides all the numbers equally.
GCD of 57, 763, 150, 180 is 1
GCD(57, 763, 150, 180) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 57, 763, 150, 180 is 1
GCD(57, 763, 150, 180) = 1
Given Input numbers are 57, 763, 150, 180
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 763
List of positive integer divisors of 763 that divides 763 without a remainder.
1, 7, 109, 763
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 180
List of positive integer divisors of 180 that divides 180 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Greatest Common Divisior
We found the divisors of 57, 763, 150, 180 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 763, 150, 180 is 1.
Therefore, GCD of numbers 57, 763, 150, 180 is 1
Given Input Data is 57, 763, 150, 180
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 57 is 3 x 19
Prime Factorization of 763 is 7 x 109
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 180 is 2 x 2 x 3 x 3 x 5
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(57, 763) = 43491
GCD(57, 763) = ( 57 x 763 ) / 43491
GCD(57, 763) = 43491 / 43491
GCD(57, 763) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 150
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 150) = 150
GCD(1, 150) = ( 1 x 150 ) / 150
GCD(1, 150) = 150 / 150
GCD(1, 150) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 180
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 180) = 180
GCD(1, 180) = ( 1 x 180 ) / 180
GCD(1, 180) = 180 / 180
GCD(1, 180) = 1
GCD of 57, 763, 150, 180 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 57, 763, 150, 180?
GCD of 57, 763, 150, 180 is 1
2. Where do I get the detailed procedure to find GCD of 57, 763, 150, 180?
You can find a detailed procedure to find GCD of 57, 763, 150, 180 on our page.
3. How to find GCD of 57, 763, 150, 180 on a calculator?
You can find the GCD of 57, 763, 150, 180 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.