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 202, 460, 146, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 202, 460, 146, 737 is 1
GCD(202, 460, 146, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 202, 460, 146, 737 is 1
GCD(202, 460, 146, 737) = 1
Given Input numbers are 202, 460, 146, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Divisors of 146
List of positive integer divisors of 146 that divides 146 without a remainder.
1, 2, 73, 146
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 202, 460, 146, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 460, 146, 737 is 1.
Therefore, GCD of numbers 202, 460, 146, 737 is 1
Given Input Data is 202, 460, 146, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 202 is 2 x 101
Prime Factorization of 460 is 2 x 2 x 5 x 23
Prime Factorization of 146 is 2 x 73
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(202, 460) = 46460
GCD(202, 460) = ( 202 x 460 ) / 46460
GCD(202, 460) = 92920 / 46460
GCD(202, 460) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 146
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 146) = 146
GCD(2, 146) = ( 2 x 146 ) / 146
GCD(2, 146) = 292 / 146
GCD(2, 146) = 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 202, 460, 146, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 202, 460, 146, 737?
GCD of 202, 460, 146, 737 is 1
2. Where do I get the detailed procedure to find GCD of 202, 460, 146, 737?
You can find a detailed procedure to find GCD of 202, 460, 146, 737 on our page.
3. How to find GCD of 202, 460, 146, 737 on a calculator?
You can find the GCD of 202, 460, 146, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.