Online GCD Calculator is useful to find the GCD of 476, 618, 784, 342 quickly. Get the easiest ways to solve the greatest common divisor of 476, 618, 784, 342 i.e 2 in different methods as follows.
Given Input numbers are 476, 618, 784, 342
In the factoring method, we have to find the divisors of all numbers
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
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 342 :
The positive integer divisors of 342 that completely divides 342 are.
1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
GCD of numbers is the greatest common divisor
So, the GCD (476, 618, 784, 342) = 2.
Given numbers are 476, 618, 784, 342
The list of prime factors of all numbers are
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 618 are 2 x 3 x 103
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 342 are 2 x 3 x 3 x 19
The highest common occurrence is 21
Therefore, GCD of 476, 618, 784, 342 is 2.
Given numbers are 476, 618, 784, 342
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(476, 618) = 147084
GCD(476, 618) = ( 476 x 618 ) / 147084
= 476 / 618
= 476
Step2:
LCM(2, 784) = 784
GCD(2, 784) = ( 2 x 784 ) / 784
= 2 / 784
= 2
Step3:
LCM(2, 342) = 342
GCD(2, 342) = ( 2 x 342 ) / 342
= 2 / 342
= 2
So, Greatest Common Divisor of 476, 618, 784, 342 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 476, 618, 784, 342
The greatest common divisor of numbers 476, 618, 784, 342 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 476, 618, 784, 342 is 2.
1. What is the GCD of 476, 618, 784, 342?
GCD of given numbers 476, 618, 784, 342 is 2
2. How to calculate the greatest common divisor of 476, 618, 784, 342?
We can find the highest common divisor of 476, 618, 784, 342 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 476, 618, 784, 342 i.e 2.
3. How can I use the GCD of 476, 618, 784, 342Calculator?
Out the numbers 476, 618, 784, 342 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.