GCD of 105, 821, 765 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 105, 821, 765 quickly. Get the easiest ways to solve the greatest common divisor of 105, 821, 765 i.e 1 in different methods as follows.
Given Input numbers are 105, 821, 765
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 821 :
The positive integer divisors of 821 that completely divides 821 are.
1, 821
Divisors of 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
GCD of numbers is the greatest common divisor
So, the GCD (105, 821, 765) = 1.
Given numbers are 105, 821, 765
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 821 are 821
Prime factors of 765 are 3 x 3 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 105, 821, 765 using LCM Formula
Given numbers are 105, 821, 765
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 821) = 86205
GCD(105, 821) = ( 105 x 821 ) / 86205
= 105 / 821
= 105
Step2:
LCM(1, 765) = 765
GCD(1, 765) = ( 1 x 765 ) / 765
= 1 / 765
= 1
So, Greatest Common Divisor of 105, 821, 765 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 105, 821, 765
Given numbers are 105, 821, 765
The greatest common divisor of numbers 105, 821, 765 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 821, 765 is 1.
FAQs on GCD of 105, 821, 765 Calculator
1. What is the GCD of 105, 821, 765?
GCD of given numbers 105, 821, 765 is 1
2. How to calculate the greatest common divisor of 105, 821, 765?
We can find the highest common divisor of 105, 821, 765 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 105, 821, 765 i.e 1.
3. How can I use the GCD of 105, 821, 765Calculator?
Out the numbers 105, 821, 765 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.