Online GCD Calculator is useful to find the GCD of 642, 798, 898, 394 quickly. Get the easiest ways to solve the greatest common divisor of 642, 798, 898, 394 i.e 2 in different methods as follows.
Given Input numbers are 642, 798, 898, 394
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 798 :
The positive integer divisors of 798 that completely divides 798 are.
1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 394 :
The positive integer divisors of 394 that completely divides 394 are.
1, 2, 197, 394
GCD of numbers is the greatest common divisor
So, the GCD (642, 798, 898, 394) = 2.
Given numbers are 642, 798, 898, 394
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 798 are 2 x 3 x 7 x 19
Prime factors of 898 are 2 x 449
Prime factors of 394 are 2 x 197
The highest common occurrence is 21
Therefore, GCD of 642, 798, 898, 394 is 2.
Given numbers are 642, 798, 898, 394
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 798) = 85386
GCD(642, 798) = ( 642 x 798 ) / 85386
= 642 / 798
= 642
Step2:
LCM(6, 898) = 2694
GCD(6, 898) = ( 6 x 898 ) / 2694
= 6 / 898
= 6
Step3:
LCM(2, 394) = 394
GCD(2, 394) = ( 2 x 394 ) / 394
= 2 / 394
= 2
So, Greatest Common Divisor of 642, 798, 898, 394 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 798, 898, 394
The greatest common divisor of numbers 642, 798, 898, 394 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 798, 898, 394 is 2.
1. What is the GCD of 642, 798, 898, 394?
GCD of given numbers 642, 798, 898, 394 is 2
2. How to calculate the greatest common divisor of 642, 798, 898, 394?
We can find the highest common divisor of 642, 798, 898, 394 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 642, 798, 898, 394 i.e 2.
3. How can I use the GCD of 642, 798, 898, 394Calculator?
Out the numbers 642, 798, 898, 394 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.