Online GCD Calculator is useful to find the GCD of 234, 686, 940, 698 quickly. Get the easiest ways to solve the greatest common divisor of 234, 686, 940, 698 i.e 2 in different methods as follows.
Given Input numbers are 234, 686, 940, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 234 :
The positive integer divisors of 234 that completely divides 234 are.
1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (234, 686, 940, 698) = 2.
Given numbers are 234, 686, 940, 698
The list of prime factors of all numbers are
Prime factors of 234 are 2 x 3 x 3 x 13
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 698 are 2 x 349
The highest common occurrence is 21
Therefore, GCD of 234, 686, 940, 698 is 2.
Given numbers are 234, 686, 940, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(234, 686) = 80262
GCD(234, 686) = ( 234 x 686 ) / 80262
= 234 / 686
= 234
Step2:
LCM(2, 940) = 940
GCD(2, 940) = ( 2 x 940 ) / 940
= 2 / 940
= 2
Step3:
LCM(2, 698) = 698
GCD(2, 698) = ( 2 x 698 ) / 698
= 2 / 698
= 2
So, Greatest Common Divisor of 234, 686, 940, 698 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 234, 686, 940, 698
The greatest common divisor of numbers 234, 686, 940, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 234, 686, 940, 698 is 2.
1. What is the GCD of 234, 686, 940, 698?
GCD of given numbers 234, 686, 940, 698 is 2
2. How to calculate the greatest common divisor of 234, 686, 940, 698?
We can find the highest common divisor of 234, 686, 940, 698 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 234, 686, 940, 698 i.e 2.
3. How can I use the GCD of 234, 686, 940, 698Calculator?
Out the numbers 234, 686, 940, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.