Online GCD Calculator is useful to find the GCD of 484, 698, 784, 368 quickly. Get the easiest ways to solve the greatest common divisor of 484, 698, 784, 368 i.e 2 in different methods as follows.
Given Input numbers are 484, 698, 784, 368
In the factoring method, we have to find the divisors of all numbers
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
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 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
GCD of numbers is the greatest common divisor
So, the GCD (484, 698, 784, 368) = 2.
Given numbers are 484, 698, 784, 368
The list of prime factors of all numbers are
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 698 are 2 x 349
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
The highest common occurrence is 21
Therefore, GCD of 484, 698, 784, 368 is 2.
Given numbers are 484, 698, 784, 368
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(484, 698) = 168916
GCD(484, 698) = ( 484 x 698 ) / 168916
= 484 / 698
= 484
Step2:
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
= 2 / 784
= 2
Step3:
LCM(2, 368) = 368
GCD(2, 368) = ( 2 x 368 ) / 368
= 2 / 368
= 2
So, Greatest Common Divisor of 484, 698, 784, 368 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 484, 698, 784, 368
The greatest common divisor of numbers 484, 698, 784, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 698, 784, 368 is 2.
1. What is the GCD of 484, 698, 784, 368?
GCD of given numbers 484, 698, 784, 368 is 2
2. How to calculate the greatest common divisor of 484, 698, 784, 368?
We can find the highest common divisor of 484, 698, 784, 368 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 484, 698, 784, 368 i.e 2.
3. How can I use the GCD of 484, 698, 784, 368Calculator?
Out the numbers 484, 698, 784, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.