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 736, 650, 37, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 650, 37, 352 is 1
GCD(736, 650, 37, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 650, 37, 352 is 1
GCD(736, 650, 37, 352) = 1
Given Input numbers are 736, 650, 37, 352
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 736, 650, 37, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 650, 37, 352 is 1.
Therefore, GCD of numbers 736, 650, 37, 352 is 1
Given Input Data is 736, 650, 37, 352
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 650 is 2 x 5 x 5 x 13
Prime Factorization of 37 is 37
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(736, 650) = 239200
GCD(736, 650) = ( 736 x 650 ) / 239200
GCD(736, 650) = 478400 / 239200
GCD(736, 650) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 37) = 74
GCD(2, 37) = ( 2 x 37 ) / 74
GCD(2, 37) = 74 / 74
GCD(2, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
GCD of 736, 650, 37, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 650, 37, 352?
GCD of 736, 650, 37, 352 is 1
2. Where do I get the detailed procedure to find GCD of 736, 650, 37, 352?
You can find a detailed procedure to find GCD of 736, 650, 37, 352 on our page.
3. How to find GCD of 736, 650, 37, 352 on a calculator?
You can find the GCD of 736, 650, 37, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.