Online GCD Calculator is useful to find the GCD of 472, 350, 200, 782 quickly. Get the easiest ways to solve the greatest common divisor of 472, 350, 200, 782 i.e 2 in different methods as follows.
Given Input numbers are 472, 350, 200, 782
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
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 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 782 :
The positive integer divisors of 782 that completely divides 782 are.
1, 2, 17, 23, 34, 46, 391, 782
GCD of numbers is the greatest common divisor
So, the GCD (472, 350, 200, 782) = 2.
Given numbers are 472, 350, 200, 782
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 350 are 2 x 5 x 5 x 7
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 782 are 2 x 17 x 23
The highest common occurrence is 21
Therefore, GCD of 472, 350, 200, 782 is 2.
Given numbers are 472, 350, 200, 782
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 350) = 82600
GCD(472, 350) = ( 472 x 350 ) / 82600
= 472 / 350
= 472
Step2:
LCM(2, 200) = 200
GCD(2, 200) = ( 2 x 200 ) / 200
= 2 / 200
= 2
Step3:
LCM(2, 782) = 782
GCD(2, 782) = ( 2 x 782 ) / 782
= 2 / 782
= 2
So, Greatest Common Divisor of 472, 350, 200, 782 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 350, 200, 782
The greatest common divisor of numbers 472, 350, 200, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 350, 200, 782 is 2.
1. What is the GCD of 472, 350, 200, 782?
GCD of given numbers 472, 350, 200, 782 is 2
2. How to calculate the greatest common divisor of 472, 350, 200, 782?
We can find the highest common divisor of 472, 350, 200, 782 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 472, 350, 200, 782 i.e 2.
3. How can I use the GCD of 472, 350, 200, 782Calculator?
Out the numbers 472, 350, 200, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.