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 737, 978, 51 i.e. 1 largest integer that divides all the numbers equally.
GCD of 737, 978, 51 is 1
GCD(737, 978, 51) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 737, 978, 51 is 1
GCD(737, 978, 51) = 1
Given Input numbers are 737, 978, 51
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 737
List of positive integer divisors of 737 that divides 737 without a remainder.
1, 11, 67, 737
Divisors of 978
List of positive integer divisors of 978 that divides 978 without a remainder.
1, 2, 3, 6, 163, 326, 489, 978
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Greatest Common Divisior
We found the divisors of 737, 978, 51 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 737, 978, 51 is 1.
Therefore, GCD of numbers 737, 978, 51 is 1
Given Input Data is 737, 978, 51
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 737 is 11 x 67
Prime Factorization of 978 is 2 x 3 x 163
Prime Factorization of 51 is 3 x 17
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(737, 978) = 720786
GCD(737, 978) = ( 737 x 978 ) / 720786
GCD(737, 978) = 720786 / 720786
GCD(737, 978) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
GCD of 737, 978, 51 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 737, 978, 51?
GCD of 737, 978, 51 is 1
2. Where do I get the detailed procedure to find GCD of 737, 978, 51?
You can find a detailed procedure to find GCD of 737, 978, 51 on our page.
3. How to find GCD of 737, 978, 51 on a calculator?
You can find the GCD of 737, 978, 51 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.