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, 206, 104, 751 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 206, 104, 751 is 1
GCD(150, 206, 104, 751) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 206, 104, 751 is 1
GCD(150, 206, 104, 751) = 1
Given Input numbers are 150, 206, 104, 751
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 206
List of positive integer divisors of 206 that divides 206 without a remainder.
1, 2, 103, 206
Divisors of 104
List of positive integer divisors of 104 that divides 104 without a remainder.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Greatest Common Divisior
We found the divisors of 150, 206, 104, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 206, 104, 751 is 1.
Therefore, GCD of numbers 150, 206, 104, 751 is 1
Given Input Data is 150, 206, 104, 751
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 206 is 2 x 103
Prime Factorization of 104 is 2 x 2 x 2 x 13
Prime Factorization of 751 is 751
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, 206) = 15450
GCD(150, 206) = ( 150 x 206 ) / 15450
GCD(150, 206) = 30900 / 15450
GCD(150, 206) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 104
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 104) = 104
GCD(2, 104) = ( 2 x 104 ) / 104
GCD(2, 104) = 208 / 104
GCD(2, 104) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 751) = 1502
GCD(2, 751) = ( 2 x 751 ) / 1502
GCD(2, 751) = 1502 / 1502
GCD(2, 751) = 1
GCD of 150, 206, 104, 751 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 206, 104, 751?
GCD of 150, 206, 104, 751 is 1
2. Where do I get the detailed procedure to find GCD of 150, 206, 104, 751?
You can find a detailed procedure to find GCD of 150, 206, 104, 751 on our page.
3. How to find GCD of 150, 206, 104, 751 on a calculator?
You can find the GCD of 150, 206, 104, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.