Online GCD Calculator is useful to find the GCD of 218, 794, 898, 742 quickly. Get the easiest ways to solve the greatest common divisor of 218, 794, 898, 742 i.e 2 in different methods as follows.
Given Input numbers are 218, 794, 898, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 218 :
The positive integer divisors of 218 that completely divides 218 are.
1, 2, 109, 218
Divisors of 794 :
The positive integer divisors of 794 that completely divides 794 are.
1, 2, 397, 794
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (218, 794, 898, 742) = 2.
Given numbers are 218, 794, 898, 742
The list of prime factors of all numbers are
Prime factors of 218 are 2 x 109
Prime factors of 794 are 2 x 397
Prime factors of 898 are 2 x 449
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 218, 794, 898, 742 is 2.
Given numbers are 218, 794, 898, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(218, 794) = 86546
GCD(218, 794) = ( 218 x 794 ) / 86546
= 218 / 794
= 218
Step2:
LCM(2, 898) = 898
GCD(2, 898) = ( 2 x 898 ) / 898
= 2 / 898
= 2
Step3:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 218, 794, 898, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 218, 794, 898, 742
The greatest common divisor of numbers 218, 794, 898, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 218, 794, 898, 742 is 2.
1. What is the GCD of 218, 794, 898, 742?
GCD of given numbers 218, 794, 898, 742 is 2
2. How to calculate the greatest common divisor of 218, 794, 898, 742?
We can find the highest common divisor of 218, 794, 898, 742 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 218, 794, 898, 742 i.e 2.
3. How can I use the GCD of 218, 794, 898, 742Calculator?
Out the numbers 218, 794, 898, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.