Online GCD Calculator is useful to find the GCD of 650, 752, 442, 206 quickly. Get the easiest ways to solve the greatest common divisor of 650, 752, 442, 206 i.e 2 in different methods as follows.
Given Input numbers are 650, 752, 442, 206
In the factoring method, we have to find the divisors of all numbers
Divisors of 650 :
The positive integer divisors of 650 that completely divides 650 are.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
Divisors of 206 :
The positive integer divisors of 206 that completely divides 206 are.
1, 2, 103, 206
GCD of numbers is the greatest common divisor
So, the GCD (650, 752, 442, 206) = 2.
Given numbers are 650, 752, 442, 206
The list of prime factors of all numbers are
Prime factors of 650 are 2 x 5 x 5 x 13
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 442 are 2 x 13 x 17
Prime factors of 206 are 2 x 103
The highest common occurrence is 21
Therefore, GCD of 650, 752, 442, 206 is 2.
Given numbers are 650, 752, 442, 206
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(650, 752) = 244400
GCD(650, 752) = ( 650 x 752 ) / 244400
= 650 / 752
= 650
Step2:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
Step3:
LCM(2, 206) = 206
GCD(2, 206) = ( 2 x 206 ) / 206
= 2 / 206
= 2
So, Greatest Common Divisor of 650, 752, 442, 206 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 650, 752, 442, 206
The greatest common divisor of numbers 650, 752, 442, 206 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 650, 752, 442, 206 is 2.
1. What is the GCD of 650, 752, 442, 206?
GCD of given numbers 650, 752, 442, 206 is 2
2. How to calculate the greatest common divisor of 650, 752, 442, 206?
We can find the highest common divisor of 650, 752, 442, 206 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 650, 752, 442, 206 i.e 2.
3. How can I use the GCD of 650, 752, 442, 206Calculator?
Out the numbers 650, 752, 442, 206 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.