Online GCD Calculator is useful to find the GCD of 956, 684, 42, 646 quickly. Get the easiest ways to solve the greatest common divisor of 956, 684, 42, 646 i.e 2 in different methods as follows.
Given Input numbers are 956, 684, 42, 646
In the factoring method, we have to find the divisors of all numbers
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 42 :
The positive integer divisors of 42 that completely divides 42 are.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
GCD of numbers is the greatest common divisor
So, the GCD (956, 684, 42, 646) = 2.
Given numbers are 956, 684, 42, 646
The list of prime factors of all numbers are
Prime factors of 956 are 2 x 2 x 239
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 42 are 2 x 3 x 7
Prime factors of 646 are 2 x 17 x 19
The highest common occurrence is 21
Therefore, GCD of 956, 684, 42, 646 is 2.
Given numbers are 956, 684, 42, 646
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(956, 684) = 163476
GCD(956, 684) = ( 956 x 684 ) / 163476
= 956 / 684
= 956
Step2:
LCM(4, 42) = 84
GCD(4, 42) = ( 4 x 42 ) / 84
= 4 / 42
= 4
Step3:
LCM(2, 646) = 646
GCD(2, 646) = ( 2 x 646 ) / 646
= 2 / 646
= 2
So, Greatest Common Divisor of 956, 684, 42, 646 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 956, 684, 42, 646
The greatest common divisor of numbers 956, 684, 42, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 684, 42, 646 is 2.
1. What is the GCD of 956, 684, 42, 646?
GCD of given numbers 956, 684, 42, 646 is 2
2. How to calculate the greatest common divisor of 956, 684, 42, 646?
We can find the highest common divisor of 956, 684, 42, 646 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 956, 684, 42, 646 i.e 2.
3. How can I use the GCD of 956, 684, 42, 646Calculator?
Out the numbers 956, 684, 42, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.