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 150, 248, 71, 130 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 248, 71, 130 is 1
GCD(150, 248, 71, 130) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 248, 71, 130 is 1
GCD(150, 248, 71, 130) = 1
Given Input numbers are 150, 248, 71, 130
To find the GCD of numbers using factoring list out all the divisors of each number
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 248
List of positive integer divisors of 248 that divides 248 without a remainder.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 71
List of positive integer divisors of 71 that divides 71 without a remainder.
1, 71
Divisors of 130
List of positive integer divisors of 130 that divides 130 without a remainder.
1, 2, 5, 10, 13, 26, 65, 130
Greatest Common Divisior
We found the divisors of 150, 248, 71, 130 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 248, 71, 130 is 1.
Therefore, GCD of numbers 150, 248, 71, 130 is 1
Given Input Data is 150, 248, 71, 130
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 248 is 2 x 2 x 2 x 31
Prime Factorization of 71 is 71
Prime Factorization of 130 is 2 x 5 x 13
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(150, 248) = 18600
GCD(150, 248) = ( 150 x 248 ) / 18600
GCD(150, 248) = 37200 / 18600
GCD(150, 248) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 71
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 71) = 142
GCD(2, 71) = ( 2 x 71 ) / 142
GCD(2, 71) = 142 / 142
GCD(2, 71) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 130
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
GCD(1, 130) = 130 / 130
GCD(1, 130) = 1
GCD of 150, 248, 71, 130 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 248, 71, 130?
GCD of 150, 248, 71, 130 is 1
2. Where do I get the detailed procedure to find GCD of 150, 248, 71, 130?
You can find a detailed procedure to find GCD of 150, 248, 71, 130 on our page.
3. How to find GCD of 150, 248, 71, 130 on a calculator?
You can find the GCD of 150, 248, 71, 130 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.