Online GCD Calculator is useful to find the GCD of 438, 316, 562, 850 quickly. Get the easiest ways to solve the greatest common divisor of 438, 316, 562, 850 i.e 2 in different methods as follows.
Given Input numbers are 438, 316, 562, 850
In the factoring method, we have to find the divisors of all numbers
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
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
GCD of numbers is the greatest common divisor
So, the GCD (438, 316, 562, 850) = 2.
Given numbers are 438, 316, 562, 850
The list of prime factors of all numbers are
Prime factors of 438 are 2 x 3 x 73
Prime factors of 316 are 2 x 2 x 79
Prime factors of 562 are 2 x 281
Prime factors of 850 are 2 x 5 x 5 x 17
The highest common occurrence is 21
Therefore, GCD of 438, 316, 562, 850 is 2.
Given numbers are 438, 316, 562, 850
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(438, 316) = 69204
GCD(438, 316) = ( 438 x 316 ) / 69204
= 438 / 316
= 438
Step2:
LCM(2, 562) = 562
GCD(2, 562) = ( 2 x 562 ) / 562
= 2 / 562
= 2
Step3:
LCM(2, 850) = 850
GCD(2, 850) = ( 2 x 850 ) / 850
= 2 / 850
= 2
So, Greatest Common Divisor of 438, 316, 562, 850 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 438, 316, 562, 850
The greatest common divisor of numbers 438, 316, 562, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 316, 562, 850 is 2.
1. What is the GCD of 438, 316, 562, 850?
GCD of given numbers 438, 316, 562, 850 is 2
2. How to calculate the greatest common divisor of 438, 316, 562, 850?
We can find the highest common divisor of 438, 316, 562, 850 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 438, 316, 562, 850 i.e 2.
3. How can I use the GCD of 438, 316, 562, 850Calculator?
Out the numbers 438, 316, 562, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.