Online GCD Calculator is useful to find the GCD of 420, 504, 316 quickly. Get the easiest ways to solve the greatest common divisor of 420, 504, 316 i.e 4 in different methods as follows.
Given Input numbers are 420, 504, 316
In the factoring method, we have to find the divisors of all numbers
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 504 :
The positive integer divisors of 504 that completely divides 504 are.
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
GCD of numbers is the greatest common divisor
So, the GCD (420, 504, 316) = 4.
Given numbers are 420, 504, 316
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7
Prime factors of 316 are 2 x 2 x 79
The highest common occurrence is 22
Therefore, GCD of 420, 504, 316 is 4.
Given numbers are 420, 504, 316
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 504) = 2520
GCD(420, 504) = ( 420 x 504 ) / 2520
= 420 / 504
= 420
Step2:
LCM(84, 316) = 6636
GCD(84, 316) = ( 84 x 316 ) / 6636
= 84 / 316
= 84
So, Greatest Common Divisor of 420, 504, 316 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 504, 316
The greatest common divisor of numbers 420, 504, 316 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 504, 316 is 4.
1. What is the GCD of 420, 504, 316?
GCD of given numbers 420, 504, 316 is 4
2. How to calculate the greatest common divisor of 420, 504, 316?
We can find the highest common divisor of 420, 504, 316 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 420, 504, 316 i.e 4.
3. How can I use the GCD of 420, 504, 316Calculator?
Out the numbers 420, 504, 316 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.