GCD of 777, 481, 814 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 777, 481, 814 quickly. Get the easiest ways to solve the greatest common divisor of 777, 481, 814 i.e 37 in different methods as follows.
Given Input numbers are 777, 481, 814
In the factoring method, we have to find the divisors of all numbers
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
Divisors of 481 :
The positive integer divisors of 481 that completely divides 481 are.
1, 13, 37, 481
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
GCD of numbers is the greatest common divisor
So, the GCD (777, 481, 814) = 37.
Given numbers are 777, 481, 814
The list of prime factors of all numbers are
Prime factors of 777 are 3 x 7 x 37
Prime factors of 481 are 13 x 37
Prime factors of 814 are 2 x 11 x 37
The highest common occurrence is 371
Therefore, GCD of 777, 481, 814 is 37.
Steps to Calculate GCD of 777, 481, 814 using LCM Formula
Given numbers are 777, 481, 814
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(777, 481) = 10101
GCD(777, 481) = ( 777 x 481 ) / 10101
= 777 / 481
= 777
Step2:
LCM(37, 814) = 814
GCD(37, 814) = ( 37 x 814 ) / 814
= 37 / 814
= 37
So, Greatest Common Divisor of 777, 481, 814 is 37
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 777, 481, 814
Given numbers are 777, 481, 814
The greatest common divisor of numbers 777, 481, 814 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 777, 481, 814 is 37.
FAQs on GCD of 777, 481, 814 Calculator
1. What is the GCD of 777, 481, 814?
GCD of given numbers 777, 481, 814 is 37
2. How to calculate the greatest common divisor of 777, 481, 814?
We can find the highest common divisor of 777, 481, 814 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 777, 481, 814 i.e 37.
3. How can I use the GCD of 777, 481, 814Calculator?
Out the numbers 777, 481, 814 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.