Online GCD Calculator is useful to find the GCD of 350, 212, 648, 824 quickly. Get the easiest ways to solve the greatest common divisor of 350, 212, 648, 824 i.e 2 in different methods as follows.
Given Input numbers are 350, 212, 648, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 350 :
The positive integer divisors of 350 that completely divides 350 are.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (350, 212, 648, 824) = 2.
Given numbers are 350, 212, 648, 824
The list of prime factors of all numbers are
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 212 are 2 x 2 x 53
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 350, 212, 648, 824 is 2.
Given numbers are 350, 212, 648, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(350, 212) = 37100
GCD(350, 212) = ( 350 x 212 ) / 37100
= 350 / 212
= 350
Step2:
LCM(2, 648) = 648
GCD(2, 648) = ( 2 x 648 ) / 648
= 2 / 648
= 2
Step3:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
So, Greatest Common Divisor of 350, 212, 648, 824 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 350, 212, 648, 824
The greatest common divisor of numbers 350, 212, 648, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 350, 212, 648, 824 is 2.
1. What is the GCD of 350, 212, 648, 824?
GCD of given numbers 350, 212, 648, 824 is 2
2. How to calculate the greatest common divisor of 350, 212, 648, 824?
We can find the highest common divisor of 350, 212, 648, 824 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 350, 212, 648, 824 i.e 2.
3. How can I use the GCD of 350, 212, 648, 824Calculator?
Out the numbers 350, 212, 648, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.