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 777, 938, 987 i.e. 7 largest integer that divides all the numbers equally.
GCD of 777, 938, 987 is 7
GCD(777, 938, 987) = 7
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 777, 938, 987 is 7
GCD(777, 938, 987) = 7
Given Input numbers are 777, 938, 987
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 777
List of positive integer divisors of 777 that divides 777 without a remainder.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 938
List of positive integer divisors of 938 that divides 938 without a remainder.
1, 2, 7, 14, 67, 134, 469, 938
Divisors of 987
List of positive integer divisors of 987 that divides 987 without a remainder.
1, 3, 7, 21, 47, 141, 329, 987
Greatest Common Divisior
We found the divisors of 777, 938, 987 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 777, 938, 987 is 7.
Therefore, GCD of numbers 777, 938, 987 is 7
Given Input Data is 777, 938, 987
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 777 is 3 x 7 x 37
Prime Factorization of 938 is 2 x 7 x 67
Prime Factorization of 987 is 3 x 7 x 47
Highest common occurrences in the given inputs are 71
Multiplying them we get the GCD as 7
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(777, 938) = 104118
GCD(777, 938) = ( 777 x 938 ) / 104118
GCD(777, 938) = 728826 / 104118
GCD(777, 938) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 987
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 987) = 987
GCD(7, 987) = ( 7 x 987 ) / 987
GCD(7, 987) = 6909 / 987
GCD(7, 987) = 7
GCD of 777, 938, 987 is 7
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 777, 938, 987?
GCD of 777, 938, 987 is 7
2. Where do I get the detailed procedure to find GCD of 777, 938, 987?
You can find a detailed procedure to find GCD of 777, 938, 987 on our page.
3. How to find GCD of 777, 938, 987 on a calculator?
You can find the GCD of 777, 938, 987 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.