Online GCD Calculator is useful to find the GCD of 429, 111, 180, 921 quickly. Get the easiest ways to solve the greatest common divisor of 429, 111, 180, 921 i.e 3 in different methods as follows.
Given Input numbers are 429, 111, 180, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 111 :
The positive integer divisors of 111 that completely divides 111 are.
1, 3, 37, 111
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (429, 111, 180, 921) = 3.
Given numbers are 429, 111, 180, 921
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 111 are 3 x 37
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
Prime factors of 921 are 3 x 307
The highest common occurrence is 31
Therefore, GCD of 429, 111, 180, 921 is 3.
Given numbers are 429, 111, 180, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 111) = 15873
GCD(429, 111) = ( 429 x 111 ) / 15873
= 429 / 111
= 429
Step2:
LCM(3, 180) = 180
GCD(3, 180) = ( 3 x 180 ) / 180
= 3 / 180
= 3
Step3:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
So, Greatest Common Divisor of 429, 111, 180, 921 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 111, 180, 921
The greatest common divisor of numbers 429, 111, 180, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 111, 180, 921 is 3.
1. What is the GCD of 429, 111, 180, 921?
GCD of given numbers 429, 111, 180, 921 is 3
2. How to calculate the greatest common divisor of 429, 111, 180, 921?
We can find the highest common divisor of 429, 111, 180, 921 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 429, 111, 180, 921 i.e 3.
3. How can I use the GCD of 429, 111, 180, 921Calculator?
Out the numbers 429, 111, 180, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.