GCD of 829, 105, 200, 212 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 829, 105, 200, 212 quickly. Get the easiest ways to solve the greatest common divisor of 829, 105, 200, 212 i.e 1 in different methods as follows.
Given Input numbers are 829, 105, 200, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 829 :
The positive integer divisors of 829 that completely divides 829 are.
1, 829
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (829, 105, 200, 212) = 1.
Given numbers are 829, 105, 200, 212
The list of prime factors of all numbers are
Prime factors of 829 are 829
Prime factors of 105 are 3 x 5 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 212 are 2 x 2 x 53
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 829, 105, 200, 212 using LCM Formula
Given numbers are 829, 105, 200, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(829, 105) = 87045
GCD(829, 105) = ( 829 x 105 ) / 87045
= 829 / 105
= 829
Step2:
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
= 1 / 200
= 1
Step3:
LCM(1, 212) = 212
GCD(1, 212) = ( 1 x 212 ) / 212
= 1 / 212
= 1
So, Greatest Common Divisor of 829, 105, 200, 212 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 829, 105, 200, 212
Given numbers are 829, 105, 200, 212
The greatest common divisor of numbers 829, 105, 200, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 829, 105, 200, 212 is 1.
FAQs on GCD of 829, 105, 200, 212 Calculator
1. What is the GCD of 829, 105, 200, 212?
GCD of given numbers 829, 105, 200, 212 is 1
2. How to calculate the greatest common divisor of 829, 105, 200, 212?
We can find the highest common divisor of 829, 105, 200, 212 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 829, 105, 200, 212 i.e 1.
3. How can I use the GCD of 829, 105, 200, 212Calculator?
Out the numbers 829, 105, 200, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.