GCD of 785, 775, 855 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 785, 775, 855 quickly. Get the easiest ways to solve the greatest common divisor of 785, 775, 855 i.e 5 in different methods as follows.
Given Input numbers are 785, 775, 855
In the factoring method, we have to find the divisors of all numbers
Divisors of 785 :
The positive integer divisors of 785 that completely divides 785 are.
1, 5, 157, 785
Divisors of 775 :
The positive integer divisors of 775 that completely divides 775 are.
1, 5, 25, 31, 155, 775
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
GCD of numbers is the greatest common divisor
So, the GCD (785, 775, 855) = 5.
Given numbers are 785, 775, 855
The list of prime factors of all numbers are
Prime factors of 785 are 5 x 157
Prime factors of 775 are 5 x 5 x 31
Prime factors of 855 are 3 x 3 x 5 x 19
The highest common occurrence is 51
Therefore, GCD of 785, 775, 855 is 5.
Steps to Calculate GCD of 785, 775, 855 using LCM Formula
Given numbers are 785, 775, 855
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(785, 775) = 121675
GCD(785, 775) = ( 785 x 775 ) / 121675
= 785 / 775
= 785
Step2:
LCM(5, 855) = 855
GCD(5, 855) = ( 5 x 855 ) / 855
= 5 / 855
= 5
So, Greatest Common Divisor of 785, 775, 855 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 785, 775, 855
Given numbers are 785, 775, 855
The greatest common divisor of numbers 785, 775, 855 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 785, 775, 855 is 5.
FAQs on GCD of 785, 775, 855 Calculator
1. What is the GCD of 785, 775, 855?
GCD of given numbers 785, 775, 855 is 5
2. How to calculate the greatest common divisor of 785, 775, 855?
We can find the highest common divisor of 785, 775, 855 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 785, 775, 855 i.e 5.
3. How can I use the GCD of 785, 775, 855Calculator?
Out the numbers 785, 775, 855 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.