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 77, 115, 278, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 77, 115, 278, 731 is 1
GCD(77, 115, 278, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 77, 115, 278, 731 is 1
GCD(77, 115, 278, 731) = 1
Given Input numbers are 77, 115, 278, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 115
List of positive integer divisors of 115 that divides 115 without a remainder.
1, 5, 23, 115
Divisors of 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 77, 115, 278, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 77, 115, 278, 731 is 1.
Therefore, GCD of numbers 77, 115, 278, 731 is 1
Given Input Data is 77, 115, 278, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 77 is 7 x 11
Prime Factorization of 115 is 5 x 23
Prime Factorization of 278 is 2 x 139
Prime Factorization of 731 is 17 x 43
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(77, 115) = 8855
GCD(77, 115) = ( 77 x 115 ) / 8855
GCD(77, 115) = 8855 / 8855
GCD(77, 115) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 278) = 278
GCD(1, 278) = ( 1 x 278 ) / 278
GCD(1, 278) = 278 / 278
GCD(1, 278) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 731) = 731
GCD(1, 731) = ( 1 x 731 ) / 731
GCD(1, 731) = 731 / 731
GCD(1, 731) = 1
GCD of 77, 115, 278, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 77, 115, 278, 731?
GCD of 77, 115, 278, 731 is 1
2. Where do I get the detailed procedure to find GCD of 77, 115, 278, 731?
You can find a detailed procedure to find GCD of 77, 115, 278, 731 on our page.
3. How to find GCD of 77, 115, 278, 731 on a calculator?
You can find the GCD of 77, 115, 278, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.