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, 633, 301, 377 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 633, 301, 377 is 1
GCD(736, 633, 301, 377) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 633, 301, 377 is 1
GCD(736, 633, 301, 377) = 1
Given Input numbers are 736, 633, 301, 377
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 633
List of positive integer divisors of 633 that divides 633 without a remainder.
1, 3, 211, 633
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Divisors of 377
List of positive integer divisors of 377 that divides 377 without a remainder.
1, 13, 29, 377
Greatest Common Divisior
We found the divisors of 736, 633, 301, 377 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 633, 301, 377 is 1.
Therefore, GCD of numbers 736, 633, 301, 377 is 1
Given Input Data is 736, 633, 301, 377
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 633 is 3 x 211
Prime Factorization of 301 is 7 x 43
Prime Factorization of 377 is 13 x 29
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, 633) = 465888
GCD(736, 633) = ( 736 x 633 ) / 465888
GCD(736, 633) = 465888 / 465888
GCD(736, 633) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 301) = 301
GCD(1, 301) = ( 1 x 301 ) / 301
GCD(1, 301) = 301 / 301
GCD(1, 301) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 377
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 377) = 377
GCD(1, 377) = ( 1 x 377 ) / 377
GCD(1, 377) = 377 / 377
GCD(1, 377) = 1
GCD of 736, 633, 301, 377 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 633, 301, 377?
GCD of 736, 633, 301, 377 is 1
2. Where do I get the detailed procedure to find GCD of 736, 633, 301, 377?
You can find a detailed procedure to find GCD of 736, 633, 301, 377 on our page.
3. How to find GCD of 736, 633, 301, 377 on a calculator?
You can find the GCD of 736, 633, 301, 377 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.