GCD of 814, 208, 965 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 814, 208, 965 quickly. Get the easiest ways to solve the greatest common divisor of 814, 208, 965 i.e 1 in different methods as follows.
Given Input numbers are 814, 208, 965
In the factoring method, we have to find the divisors of all numbers
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 965 :
The positive integer divisors of 965 that completely divides 965 are.
1, 5, 193, 965
GCD of numbers is the greatest common divisor
So, the GCD (814, 208, 965) = 1.
Given numbers are 814, 208, 965
The list of prime factors of all numbers are
Prime factors of 814 are 2 x 11 x 37
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 965 are 5 x 193
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 814, 208, 965 using LCM Formula
Given numbers are 814, 208, 965
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(814, 208) = 84656
GCD(814, 208) = ( 814 x 208 ) / 84656
= 814 / 208
= 814
Step2:
LCM(2, 965) = 1930
GCD(2, 965) = ( 2 x 965 ) / 1930
= 2 / 965
= 2
So, Greatest Common Divisor of 814, 208, 965 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 814, 208, 965
Given numbers are 814, 208, 965
The greatest common divisor of numbers 814, 208, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 208, 965 is 1.
FAQs on GCD of 814, 208, 965 Calculator
1. What is the GCD of 814, 208, 965?
GCD of given numbers 814, 208, 965 is 1
2. How to calculate the greatest common divisor of 814, 208, 965?
We can find the highest common divisor of 814, 208, 965 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 814, 208, 965 i.e 1.
3. How can I use the GCD of 814, 208, 965Calculator?
Out the numbers 814, 208, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.