Online GCD Calculator is useful to find the GCD of 615, 162, 474, 429 quickly. Get the easiest ways to solve the greatest common divisor of 615, 162, 474, 429 i.e 3 in different methods as follows.
Given Input numbers are 615, 162, 474, 429
In the factoring method, we have to find the divisors of all numbers
Divisors of 615 :
The positive integer divisors of 615 that completely divides 615 are.
1, 3, 5, 15, 41, 123, 205, 615
Divisors of 162 :
The positive integer divisors of 162 that completely divides 162 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 474 :
The positive integer divisors of 474 that completely divides 474 are.
1, 2, 3, 6, 79, 158, 237, 474
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
GCD of numbers is the greatest common divisor
So, the GCD (615, 162, 474, 429) = 3.
Given numbers are 615, 162, 474, 429
The list of prime factors of all numbers are
Prime factors of 615 are 3 x 5 x 41
Prime factors of 162 are 2 x 3 x 3 x 3 x 3
Prime factors of 474 are 2 x 3 x 79
Prime factors of 429 are 3 x 11 x 13
The highest common occurrence is 31
Therefore, GCD of 615, 162, 474, 429 is 3.
Given numbers are 615, 162, 474, 429
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(615, 162) = 33210
GCD(615, 162) = ( 615 x 162 ) / 33210
= 615 / 162
= 615
Step2:
LCM(3, 474) = 474
GCD(3, 474) = ( 3 x 474 ) / 474
= 3 / 474
= 3
Step3:
LCM(3, 429) = 429
GCD(3, 429) = ( 3 x 429 ) / 429
= 3 / 429
= 3
So, Greatest Common Divisor of 615, 162, 474, 429 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 615, 162, 474, 429
The greatest common divisor of numbers 615, 162, 474, 429 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 615, 162, 474, 429 is 3.
1. What is the GCD of 615, 162, 474, 429?
GCD of given numbers 615, 162, 474, 429 is 3
2. How to calculate the greatest common divisor of 615, 162, 474, 429?
We can find the highest common divisor of 615, 162, 474, 429 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 615, 162, 474, 429 i.e 3.
3. How can I use the GCD of 615, 162, 474, 429Calculator?
Out the numbers 615, 162, 474, 429 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.