Online GCD Calculator is useful to find the GCD of 915, 822, 429, 444 quickly. Get the easiest ways to solve the greatest common divisor of 915, 822, 429, 444 i.e 3 in different methods as follows.
Given Input numbers are 915, 822, 429, 444
In the factoring method, we have to find the divisors of all numbers
Divisors of 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 444 :
The positive integer divisors of 444 that completely divides 444 are.
1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
GCD of numbers is the greatest common divisor
So, the GCD (915, 822, 429, 444) = 3.
Given numbers are 915, 822, 429, 444
The list of prime factors of all numbers are
Prime factors of 915 are 3 x 5 x 61
Prime factors of 822 are 2 x 3 x 137
Prime factors of 429 are 3 x 11 x 13
Prime factors of 444 are 2 x 2 x 3 x 37
The highest common occurrence is 31
Therefore, GCD of 915, 822, 429, 444 is 3.
Given numbers are 915, 822, 429, 444
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(915, 822) = 250710
GCD(915, 822) = ( 915 x 822 ) / 250710
= 915 / 822
= 915
Step2:
LCM(3, 429) = 429
GCD(3, 429) = ( 3 x 429 ) / 429
= 3 / 429
= 3
Step3:
LCM(3, 444) = 444
GCD(3, 444) = ( 3 x 444 ) / 444
= 3 / 444
= 3
So, Greatest Common Divisor of 915, 822, 429, 444 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 915, 822, 429, 444
The greatest common divisor of numbers 915, 822, 429, 444 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 822, 429, 444 is 3.
1. What is the GCD of 915, 822, 429, 444?
GCD of given numbers 915, 822, 429, 444 is 3
2. How to calculate the greatest common divisor of 915, 822, 429, 444?
We can find the highest common divisor of 915, 822, 429, 444 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 915, 822, 429, 444 i.e 3.
3. How can I use the GCD of 915, 822, 429, 444Calculator?
Out the numbers 915, 822, 429, 444 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.