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 976, 196, 73, 755 i.e. 1 largest integer that divides all the numbers equally.
GCD of 976, 196, 73, 755 is 1
GCD(976, 196, 73, 755) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 196, 73, 755 is 1
GCD(976, 196, 73, 755) = 1
Given Input numbers are 976, 196, 73, 755
To find the GCD of numbers using factoring list out all the divisors of each number
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 196
List of positive integer divisors of 196 that divides 196 without a remainder.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 73
List of positive integer divisors of 73 that divides 73 without a remainder.
1, 73
Divisors of 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Greatest Common Divisior
We found the divisors of 976, 196, 73, 755 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 196, 73, 755 is 1.
Therefore, GCD of numbers 976, 196, 73, 755 is 1
Given Input Data is 976, 196, 73, 755
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 196 is 2 x 2 x 7 x 7
Prime Factorization of 73 is 73
Prime Factorization of 755 is 5 x 151
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(976, 196) = 47824
GCD(976, 196) = ( 976 x 196 ) / 47824
GCD(976, 196) = 191296 / 47824
GCD(976, 196) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 73
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 73) = 292
GCD(4, 73) = ( 4 x 73 ) / 292
GCD(4, 73) = 292 / 292
GCD(4, 73) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 755) = 755
GCD(1, 755) = ( 1 x 755 ) / 755
GCD(1, 755) = 755 / 755
GCD(1, 755) = 1
GCD of 976, 196, 73, 755 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 196, 73, 755?
GCD of 976, 196, 73, 755 is 1
2. Where do I get the detailed procedure to find GCD of 976, 196, 73, 755?
You can find a detailed procedure to find GCD of 976, 196, 73, 755 on our page.
3. How to find GCD of 976, 196, 73, 755 on a calculator?
You can find the GCD of 976, 196, 73, 755 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.