GCD of 748, 825, 777 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 748, 825, 777 quickly. Get the easiest ways to solve the greatest common divisor of 748, 825, 777 i.e 1 in different methods as follows.
Given Input numbers are 748, 825, 777
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
GCD of numbers is the greatest common divisor
So, the GCD (748, 825, 777) = 1.
Given numbers are 748, 825, 777
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 777 are 3 x 7 x 37
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 748, 825, 777 using LCM Formula
Given numbers are 748, 825, 777
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 825) = 56100
GCD(748, 825) = ( 748 x 825 ) / 56100
= 748 / 825
= 748
Step2:
LCM(11, 777) = 8547
GCD(11, 777) = ( 11 x 777 ) / 8547
= 11 / 777
= 11
So, Greatest Common Divisor of 748, 825, 777 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 748, 825, 777
Given numbers are 748, 825, 777
The greatest common divisor of numbers 748, 825, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 825, 777 is 1.
FAQs on GCD of 748, 825, 777 Calculator
1. What is the GCD of 748, 825, 777?
GCD of given numbers 748, 825, 777 is 1
2. How to calculate the greatest common divisor of 748, 825, 777?
We can find the highest common divisor of 748, 825, 777 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 748, 825, 777 i.e 1.
3. How can I use the GCD of 748, 825, 777Calculator?
Out the numbers 748, 825, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.