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 741, 976, 51, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 741, 976, 51, 245 is 1
GCD(741, 976, 51, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 741, 976, 51, 245 is 1
GCD(741, 976, 51, 245) = 1
Given Input numbers are 741, 976, 51, 245
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 741, 976, 51, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 741, 976, 51, 245 is 1.
Therefore, GCD of numbers 741, 976, 51, 245 is 1
Given Input Data is 741, 976, 51, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 741 is 3 x 13 x 19
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 51 is 3 x 17
Prime Factorization of 245 is 5 x 7 x 7
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(741, 976) = 723216
GCD(741, 976) = ( 741 x 976 ) / 723216
GCD(741, 976) = 723216 / 723216
GCD(741, 976) = 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
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
GCD of 741, 976, 51, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 741, 976, 51, 245?
GCD of 741, 976, 51, 245 is 1
2. Where do I get the detailed procedure to find GCD of 741, 976, 51, 245?
You can find a detailed procedure to find GCD of 741, 976, 51, 245 on our page.
3. How to find GCD of 741, 976, 51, 245 on a calculator?
You can find the GCD of 741, 976, 51, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.