Online GCD Calculator is useful to find the GCD of 784, 472, 570, 118 quickly. Get the easiest ways to solve the greatest common divisor of 784, 472, 570, 118 i.e 2 in different methods as follows.
Given Input numbers are 784, 472, 570, 118
In the factoring method, we have to find the divisors of all numbers
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 570 :
The positive integer divisors of 570 that completely divides 570 are.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
GCD of numbers is the greatest common divisor
So, the GCD (784, 472, 570, 118) = 2.
Given numbers are 784, 472, 570, 118
The list of prime factors of all numbers are
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 570 are 2 x 3 x 5 x 19
Prime factors of 118 are 2 x 59
The highest common occurrence is 21
Therefore, GCD of 784, 472, 570, 118 is 2.
Given numbers are 784, 472, 570, 118
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 472) = 46256
GCD(784, 472) = ( 784 x 472 ) / 46256
= 784 / 472
= 784
Step2:
LCM(8, 570) = 2280
GCD(8, 570) = ( 8 x 570 ) / 2280
= 8 / 570
= 8
Step3:
LCM(2, 118) = 118
GCD(2, 118) = ( 2 x 118 ) / 118
= 2 / 118
= 2
So, Greatest Common Divisor of 784, 472, 570, 118 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 472, 570, 118
The greatest common divisor of numbers 784, 472, 570, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 472, 570, 118 is 2.
1. What is the GCD of 784, 472, 570, 118?
GCD of given numbers 784, 472, 570, 118 is 2
2. How to calculate the greatest common divisor of 784, 472, 570, 118?
We can find the highest common divisor of 784, 472, 570, 118 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 784, 472, 570, 118 i.e 2.
3. How can I use the GCD of 784, 472, 570, 118Calculator?
Out the numbers 784, 472, 570, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.