Online GCD Calculator is useful to find the GCD of 464, 874, 420, 482 quickly. Get the easiest ways to solve the greatest common divisor of 464, 874, 420, 482 i.e 2 in different methods as follows.
Given Input numbers are 464, 874, 420, 482
In the factoring method, we have to find the divisors of all numbers
Divisors of 464 :
The positive integer divisors of 464 that completely divides 464 are.
1, 2, 4, 8, 16, 29, 58, 116, 232, 464
Divisors of 874 :
The positive integer divisors of 874 that completely divides 874 are.
1, 2, 19, 23, 38, 46, 437, 874
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 482 :
The positive integer divisors of 482 that completely divides 482 are.
1, 2, 241, 482
GCD of numbers is the greatest common divisor
So, the GCD (464, 874, 420, 482) = 2.
Given numbers are 464, 874, 420, 482
The list of prime factors of all numbers are
Prime factors of 464 are 2 x 2 x 2 x 2 x 29
Prime factors of 874 are 2 x 19 x 23
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 482 are 2 x 241
The highest common occurrence is 21
Therefore, GCD of 464, 874, 420, 482 is 2.
Given numbers are 464, 874, 420, 482
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(464, 874) = 202768
GCD(464, 874) = ( 464 x 874 ) / 202768
= 464 / 874
= 464
Step2:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
Step3:
LCM(2, 482) = 482
GCD(2, 482) = ( 2 x 482 ) / 482
= 2 / 482
= 2
So, Greatest Common Divisor of 464, 874, 420, 482 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 464, 874, 420, 482
The greatest common divisor of numbers 464, 874, 420, 482 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 874, 420, 482 is 2.
1. What is the GCD of 464, 874, 420, 482?
GCD of given numbers 464, 874, 420, 482 is 2
2. How to calculate the greatest common divisor of 464, 874, 420, 482?
We can find the highest common divisor of 464, 874, 420, 482 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 464, 874, 420, 482 i.e 2.
3. How can I use the GCD of 464, 874, 420, 482Calculator?
Out the numbers 464, 874, 420, 482 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.