Online GCD Calculator is useful to find the GCD of 682, 118, 34, 942 quickly. Get the easiest ways to solve the greatest common divisor of 682, 118, 34, 942 i.e 2 in different methods as follows.
Given Input numbers are 682, 118, 34, 942
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 34 :
The positive integer divisors of 34 that completely divides 34 are.
1, 2, 17, 34
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
GCD of numbers is the greatest common divisor
So, the GCD (682, 118, 34, 942) = 2.
Given numbers are 682, 118, 34, 942
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 118 are 2 x 59
Prime factors of 34 are 2 x 17
Prime factors of 942 are 2 x 3 x 157
The highest common occurrence is 21
Therefore, GCD of 682, 118, 34, 942 is 2.
Given numbers are 682, 118, 34, 942
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 118) = 40238
GCD(682, 118) = ( 682 x 118 ) / 40238
= 682 / 118
= 682
Step2:
LCM(2, 34) = 34
GCD(2, 34) = ( 2 x 34 ) / 34
= 2 / 34
= 2
Step3:
LCM(2, 942) = 942
GCD(2, 942) = ( 2 x 942 ) / 942
= 2 / 942
= 2
So, Greatest Common Divisor of 682, 118, 34, 942 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 118, 34, 942
The greatest common divisor of numbers 682, 118, 34, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 118, 34, 942 is 2.
1. What is the GCD of 682, 118, 34, 942?
GCD of given numbers 682, 118, 34, 942 is 2
2. How to calculate the greatest common divisor of 682, 118, 34, 942?
We can find the highest common divisor of 682, 118, 34, 942 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 682, 118, 34, 942 i.e 2.
3. How can I use the GCD of 682, 118, 34, 942Calculator?
Out the numbers 682, 118, 34, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.