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 826, 450, 370, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 826, 450, 370, 737 is 1
GCD(826, 450, 370, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 826, 450, 370, 737 is 1
GCD(826, 450, 370, 737) = 1
Given Input numbers are 826, 450, 370, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 826
List of positive integer divisors of 826 that divides 826 without a remainder.
1, 2, 7, 14, 59, 118, 413, 826
Divisors of 450
List of positive integer divisors of 450 that divides 450 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Greatest Common Divisior
We found the divisors of 826, 450, 370, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 450, 370, 737 is 1.
Therefore, GCD of numbers 826, 450, 370, 737 is 1
Given Input Data is 826, 450, 370, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 826 is 2 x 7 x 59
Prime Factorization of 450 is 2 x 3 x 3 x 5 x 5
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 737 is 11 x 67
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(826, 450) = 185850
GCD(826, 450) = ( 826 x 450 ) / 185850
GCD(826, 450) = 371700 / 185850
GCD(826, 450) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 370
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 370) = 370
GCD(2, 370) = ( 2 x 370 ) / 370
GCD(2, 370) = 740 / 370
GCD(2, 370) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 737) = 1474
GCD(2, 737) = ( 2 x 737 ) / 1474
GCD(2, 737) = 1474 / 1474
GCD(2, 737) = 1
GCD of 826, 450, 370, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 826, 450, 370, 737?
GCD of 826, 450, 370, 737 is 1
2. Where do I get the detailed procedure to find GCD of 826, 450, 370, 737?
You can find a detailed procedure to find GCD of 826, 450, 370, 737 on our page.
3. How to find GCD of 826, 450, 370, 737 on a calculator?
You can find the GCD of 826, 450, 370, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.