GCD of 810, 770, 75 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 810, 770, 75 quickly. Get the easiest ways to solve the greatest common divisor of 810, 770, 75 i.e 5 in different methods as follows.
Given Input numbers are 810, 770, 75
In the factoring method, we have to find the divisors of all numbers
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
GCD of numbers is the greatest common divisor
So, the GCD (810, 770, 75) = 5.
Given numbers are 810, 770, 75
The list of prime factors of all numbers are
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 75 are 3 x 5 x 5
The highest common occurrence is 51
Therefore, GCD of 810, 770, 75 is 5.
Steps to Calculate GCD of 810, 770, 75 using LCM Formula
Given numbers are 810, 770, 75
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(810, 770) = 62370
GCD(810, 770) = ( 810 x 770 ) / 62370
= 810 / 770
= 810
Step2:
LCM(10, 75) = 150
GCD(10, 75) = ( 10 x 75 ) / 150
= 10 / 75
= 10
So, Greatest Common Divisor of 810, 770, 75 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 810, 770, 75
Given numbers are 810, 770, 75
The greatest common divisor of numbers 810, 770, 75 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 770, 75 is 5.
FAQs on GCD of 810, 770, 75 Calculator
1. What is the GCD of 810, 770, 75?
GCD of given numbers 810, 770, 75 is 5
2. How to calculate the greatest common divisor of 810, 770, 75?
We can find the highest common divisor of 810, 770, 75 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 810, 770, 75 i.e 5.
3. How can I use the GCD of 810, 770, 75Calculator?
Out the numbers 810, 770, 75 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.