Online GCD Calculator is useful to find the GCD of 429, 297, 822, 627 quickly. Get the easiest ways to solve the greatest common divisor of 429, 297, 822, 627 i.e 3 in different methods as follows.
Given Input numbers are 429, 297, 822, 627
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 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 822 :
The positive integer divisors of 822 that completely divides 822 are.
1, 2, 3, 6, 137, 274, 411, 822
Divisors of 627 :
The positive integer divisors of 627 that completely divides 627 are.
1, 3, 11, 19, 33, 57, 209, 627
GCD of numbers is the greatest common divisor
So, the GCD (429, 297, 822, 627) = 3.
Given numbers are 429, 297, 822, 627
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 822 are 2 x 3 x 137
Prime factors of 627 are 3 x 11 x 19
The highest common occurrence is 31
Therefore, GCD of 429, 297, 822, 627 is 3.
Given numbers are 429, 297, 822, 627
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 297) = 3861
GCD(429, 297) = ( 429 x 297 ) / 3861
= 429 / 297
= 429
Step2:
LCM(33, 822) = 9042
GCD(33, 822) = ( 33 x 822 ) / 9042
= 33 / 822
= 33
Step3:
LCM(3, 627) = 627
GCD(3, 627) = ( 3 x 627 ) / 627
= 3 / 627
= 3
So, Greatest Common Divisor of 429, 297, 822, 627 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 297, 822, 627
The greatest common divisor of numbers 429, 297, 822, 627 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 297, 822, 627 is 3.
1. What is the GCD of 429, 297, 822, 627?
GCD of given numbers 429, 297, 822, 627 is 3
2. How to calculate the greatest common divisor of 429, 297, 822, 627?
We can find the highest common divisor of 429, 297, 822, 627 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, 297, 822, 627 i.e 3.
3. How can I use the GCD of 429, 297, 822, 627Calculator?
Out the numbers 429, 297, 822, 627 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.