Online GCD Calculator is useful to find the GCD of 784, 220, 662, 484 quickly. Get the easiest ways to solve the greatest common divisor of 784, 220, 662, 484 i.e 2 in different methods as follows.
Given Input numbers are 784, 220, 662, 484
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 220 :
The positive integer divisors of 220 that completely divides 220 are.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
GCD of numbers is the greatest common divisor
So, the GCD (784, 220, 662, 484) = 2.
Given numbers are 784, 220, 662, 484
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 220 are 2 x 2 x 5 x 11
Prime factors of 662 are 2 x 331
Prime factors of 484 are 2 x 2 x 11 x 11
The highest common occurrence is 21
Therefore, GCD of 784, 220, 662, 484 is 2.
Given numbers are 784, 220, 662, 484
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(784, 220) = 43120
GCD(784, 220) = ( 784 x 220 ) / 43120
= 784 / 220
= 784
Step2:
LCM(4, 662) = 1324
GCD(4, 662) = ( 4 x 662 ) / 1324
= 4 / 662
= 4
Step3:
LCM(2, 484) = 484
GCD(2, 484) = ( 2 x 484 ) / 484
= 2 / 484
= 2
So, Greatest Common Divisor of 784, 220, 662, 484 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 784, 220, 662, 484
The greatest common divisor of numbers 784, 220, 662, 484 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 784, 220, 662, 484 is 2.
1. What is the GCD of 784, 220, 662, 484?
GCD of given numbers 784, 220, 662, 484 is 2
2. How to calculate the greatest common divisor of 784, 220, 662, 484?
We can find the highest common divisor of 784, 220, 662, 484 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, 220, 662, 484 i.e 2.
3. How can I use the GCD of 784, 220, 662, 484Calculator?
Out the numbers 784, 220, 662, 484 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.