Online GCD Calculator is useful to find the GCD of 384, 850, 490, 632 quickly. Get the easiest ways to solve the greatest common divisor of 384, 850, 490, 632 i.e 2 in different methods as follows.
Given Input numbers are 384, 850, 490, 632
In the factoring method, we have to find the divisors of all numbers
Divisors of 384 :
The positive integer divisors of 384 that completely divides 384 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
Divisors of 850 :
The positive integer divisors of 850 that completely divides 850 are.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
GCD of numbers is the greatest common divisor
So, the GCD (384, 850, 490, 632) = 2.
Given numbers are 384, 850, 490, 632
The list of prime factors of all numbers are
Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 850 are 2 x 5 x 5 x 17
Prime factors of 490 are 2 x 5 x 7 x 7
Prime factors of 632 are 2 x 2 x 2 x 79
The highest common occurrence is 21
Therefore, GCD of 384, 850, 490, 632 is 2.
Given numbers are 384, 850, 490, 632
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(384, 850) = 163200
GCD(384, 850) = ( 384 x 850 ) / 163200
= 384 / 850
= 384
Step2:
LCM(2, 490) = 490
GCD(2, 490) = ( 2 x 490 ) / 490
= 2 / 490
= 2
Step3:
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
= 2 / 632
= 2
So, Greatest Common Divisor of 384, 850, 490, 632 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 384, 850, 490, 632
The greatest common divisor of numbers 384, 850, 490, 632 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 850, 490, 632 is 2.
1. What is the GCD of 384, 850, 490, 632?
GCD of given numbers 384, 850, 490, 632 is 2
2. How to calculate the greatest common divisor of 384, 850, 490, 632?
We can find the highest common divisor of 384, 850, 490, 632 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 384, 850, 490, 632 i.e 2.
3. How can I use the GCD of 384, 850, 490, 632Calculator?
Out the numbers 384, 850, 490, 632 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.