Online GCD Calculator is useful to find the GCD of 678, 692, 442 quickly. Get the easiest ways to solve the greatest common divisor of 678, 692, 442 i.e 2 in different methods as follows.
Given Input numbers are 678, 692, 442
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 442 :
The positive integer divisors of 442 that completely divides 442 are.
1, 2, 13, 17, 26, 34, 221, 442
GCD of numbers is the greatest common divisor
So, the GCD (678, 692, 442) = 2.
Given numbers are 678, 692, 442
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 692 are 2 x 2 x 173
Prime factors of 442 are 2 x 13 x 17
The highest common occurrence is 21
Therefore, GCD of 678, 692, 442 is 2.
Given numbers are 678, 692, 442
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 692) = 234588
GCD(678, 692) = ( 678 x 692 ) / 234588
= 678 / 692
= 678
Step2:
LCM(2, 442) = 442
GCD(2, 442) = ( 2 x 442 ) / 442
= 2 / 442
= 2
So, Greatest Common Divisor of 678, 692, 442 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 692, 442
The greatest common divisor of numbers 678, 692, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 692, 442 is 2.
1. What is the GCD of 678, 692, 442?
GCD of given numbers 678, 692, 442 is 2
2. How to calculate the greatest common divisor of 678, 692, 442?
We can find the highest common divisor of 678, 692, 442 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 678, 692, 442 i.e 2.
3. How can I use the GCD of 678, 692, 442Calculator?
Out the numbers 678, 692, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.