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 152, 471, 920, 103 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 471, 920, 103 is 1
GCD(152, 471, 920, 103) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 471, 920, 103 is 1
GCD(152, 471, 920, 103) = 1
Given Input numbers are 152, 471, 920, 103
To find the GCD of numbers using factoring list out all the divisors of each number
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 471
List of positive integer divisors of 471 that divides 471 without a remainder.
1, 3, 157, 471
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 103
List of positive integer divisors of 103 that divides 103 without a remainder.
1, 103
Greatest Common Divisior
We found the divisors of 152, 471, 920, 103 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 471, 920, 103 is 1.
Therefore, GCD of numbers 152, 471, 920, 103 is 1
Given Input Data is 152, 471, 920, 103
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 471 is 3 x 157
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 103 is 103
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(152, 471) = 71592
GCD(152, 471) = ( 152 x 471 ) / 71592
GCD(152, 471) = 71592 / 71592
GCD(152, 471) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 920
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 920) = 920
GCD(1, 920) = ( 1 x 920 ) / 920
GCD(1, 920) = 920 / 920
GCD(1, 920) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 103
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 103) = 103
GCD(1, 103) = ( 1 x 103 ) / 103
GCD(1, 103) = 103 / 103
GCD(1, 103) = 1
GCD of 152, 471, 920, 103 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 471, 920, 103?
GCD of 152, 471, 920, 103 is 1
2. Where do I get the detailed procedure to find GCD of 152, 471, 920, 103?
You can find a detailed procedure to find GCD of 152, 471, 920, 103 on our page.
3. How to find GCD of 152, 471, 920, 103 on a calculator?
You can find the GCD of 152, 471, 920, 103 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.