Online GCD Calculator is useful to find the GCD of 298, 784, 844, 180 quickly. Get the easiest ways to solve the greatest common divisor of 298, 784, 844, 180 i.e 2 in different methods as follows.
Given Input numbers are 298, 784, 844, 180
In the factoring method, we have to find the divisors of all numbers
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
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 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 180 :
The positive integer divisors of 180 that completely divides 180 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
GCD of numbers is the greatest common divisor
So, the GCD (298, 784, 844, 180) = 2.
Given numbers are 298, 784, 844, 180
The list of prime factors of all numbers are
Prime factors of 298 are 2 x 149
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 844 are 2 x 2 x 211
Prime factors of 180 are 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 298, 784, 844, 180 is 2.
Given numbers are 298, 784, 844, 180
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(298, 784) = 116816
GCD(298, 784) = ( 298 x 784 ) / 116816
= 298 / 784
= 298
Step2:
LCM(2, 844) = 844
GCD(2, 844) = ( 2 x 844 ) / 844
= 2 / 844
= 2
Step3:
LCM(2, 180) = 180
GCD(2, 180) = ( 2 x 180 ) / 180
= 2 / 180
= 2
So, Greatest Common Divisor of 298, 784, 844, 180 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 298, 784, 844, 180
The greatest common divisor of numbers 298, 784, 844, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 298, 784, 844, 180 is 2.
1. What is the GCD of 298, 784, 844, 180?
GCD of given numbers 298, 784, 844, 180 is 2
2. How to calculate the greatest common divisor of 298, 784, 844, 180?
We can find the highest common divisor of 298, 784, 844, 180 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 298, 784, 844, 180 i.e 2.
3. How can I use the GCD of 298, 784, 844, 180Calculator?
Out the numbers 298, 784, 844, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.