Online GCD Calculator is useful to find the GCD of 429, 870, 174, 423 quickly. Get the easiest ways to solve the greatest common divisor of 429, 870, 174, 423 i.e 3 in different methods as follows.
Given Input numbers are 429, 870, 174, 423
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 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 423 :
The positive integer divisors of 423 that completely divides 423 are.
1, 3, 9, 47, 141, 423
GCD of numbers is the greatest common divisor
So, the GCD (429, 870, 174, 423) = 3.
Given numbers are 429, 870, 174, 423
The list of prime factors of all numbers are
Prime factors of 429 are 3 x 11 x 13
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 174 are 2 x 3 x 29
Prime factors of 423 are 3 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 429, 870, 174, 423 is 3.
Given numbers are 429, 870, 174, 423
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(429, 870) = 124410
GCD(429, 870) = ( 429 x 870 ) / 124410
= 429 / 870
= 429
Step2:
LCM(3, 174) = 174
GCD(3, 174) = ( 3 x 174 ) / 174
= 3 / 174
= 3
Step3:
LCM(3, 423) = 423
GCD(3, 423) = ( 3 x 423 ) / 423
= 3 / 423
= 3
So, Greatest Common Divisor of 429, 870, 174, 423 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 429, 870, 174, 423
The greatest common divisor of numbers 429, 870, 174, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 429, 870, 174, 423 is 3.
1. What is the GCD of 429, 870, 174, 423?
GCD of given numbers 429, 870, 174, 423 is 3
2. How to calculate the greatest common divisor of 429, 870, 174, 423?
We can find the highest common divisor of 429, 870, 174, 423 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, 870, 174, 423 i.e 3.
3. How can I use the GCD of 429, 870, 174, 423Calculator?
Out the numbers 429, 870, 174, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.