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 371, 747, 42, 737 i.e. 1 largest integer that divides all the numbers equally.
GCD of 371, 747, 42, 737 is 1
GCD(371, 747, 42, 737) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 371, 747, 42, 737 is 1
GCD(371, 747, 42, 737) = 1
Given Input numbers are 371, 747, 42, 737
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 371
List of positive integer divisors of 371 that divides 371 without a remainder.
1, 7, 53, 371
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
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 371, 747, 42, 737 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 371, 747, 42, 737 is 1.
Therefore, GCD of numbers 371, 747, 42, 737 is 1
Given Input Data is 371, 747, 42, 737
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 371 is 7 x 53
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 42 is 2 x 3 x 7
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(371, 747) = 277137
GCD(371, 747) = ( 371 x 747 ) / 277137
GCD(371, 747) = 277137 / 277137
GCD(371, 747) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 737
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 737) = 737
GCD(1, 737) = ( 1 x 737 ) / 737
GCD(1, 737) = 737 / 737
GCD(1, 737) = 1
GCD of 371, 747, 42, 737 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 371, 747, 42, 737?
GCD of 371, 747, 42, 737 is 1
2. Where do I get the detailed procedure to find GCD of 371, 747, 42, 737?
You can find a detailed procedure to find GCD of 371, 747, 42, 737 on our page.
3. How to find GCD of 371, 747, 42, 737 on a calculator?
You can find the GCD of 371, 747, 42, 737 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.