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 660, 724, 49, 150 i.e. 1 largest integer that divides all the numbers equally.
GCD of 660, 724, 49, 150 is 1
GCD(660, 724, 49, 150) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 660, 724, 49, 150 is 1
GCD(660, 724, 49, 150) = 1
Given Input numbers are 660, 724, 49, 150
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 660
List of positive integer divisors of 660 that divides 660 without a remainder.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 724
List of positive integer divisors of 724 that divides 724 without a remainder.
1, 2, 4, 181, 362, 724
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
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
Greatest Common Divisior
We found the divisors of 660, 724, 49, 150 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 660, 724, 49, 150 is 1.
Therefore, GCD of numbers 660, 724, 49, 150 is 1
Given Input Data is 660, 724, 49, 150
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11
Prime Factorization of 724 is 2 x 2 x 181
Prime Factorization of 49 is 7 x 7
Prime Factorization of 150 is 2 x 3 x 5 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(660, 724) = 119460
GCD(660, 724) = ( 660 x 724 ) / 119460
GCD(660, 724) = 477840 / 119460
GCD(660, 724) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 49) = 196
GCD(4, 49) = ( 4 x 49 ) / 196
GCD(4, 49) = 196 / 196
GCD(4, 49) = 1
Step3:
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
GCD of 660, 724, 49, 150 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 660, 724, 49, 150?
GCD of 660, 724, 49, 150 is 1
2. Where do I get the detailed procedure to find GCD of 660, 724, 49, 150?
You can find a detailed procedure to find GCD of 660, 724, 49, 150 on our page.
3. How to find GCD of 660, 724, 49, 150 on a calculator?
You can find the GCD of 660, 724, 49, 150 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.