Online GCD Calculator is useful to find the GCD of 356, 660, 422, 994 quickly. Get the easiest ways to solve the greatest common divisor of 356, 660, 422, 994 i.e 2 in different methods as follows.
Given Input numbers are 356, 660, 422, 994
In the factoring method, we have to find the divisors of all numbers
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
Divisors of 422 :
The positive integer divisors of 422 that completely divides 422 are.
1, 2, 211, 422
Divisors of 994 :
The positive integer divisors of 994 that completely divides 994 are.
1, 2, 7, 14, 71, 142, 497, 994
GCD of numbers is the greatest common divisor
So, the GCD (356, 660, 422, 994) = 2.
Given numbers are 356, 660, 422, 994
The list of prime factors of all numbers are
Prime factors of 356 are 2 x 2 x 89
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
Prime factors of 422 are 2 x 211
Prime factors of 994 are 2 x 7 x 71
The highest common occurrence is 21
Therefore, GCD of 356, 660, 422, 994 is 2.
Given numbers are 356, 660, 422, 994
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(356, 660) = 58740
GCD(356, 660) = ( 356 x 660 ) / 58740
= 356 / 660
= 356
Step2:
LCM(4, 422) = 844
GCD(4, 422) = ( 4 x 422 ) / 844
= 4 / 422
= 4
Step3:
LCM(2, 994) = 994
GCD(2, 994) = ( 2 x 994 ) / 994
= 2 / 994
= 2
So, Greatest Common Divisor of 356, 660, 422, 994 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 356, 660, 422, 994
The greatest common divisor of numbers 356, 660, 422, 994 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 356, 660, 422, 994 is 2.
1. What is the GCD of 356, 660, 422, 994?
GCD of given numbers 356, 660, 422, 994 is 2
2. How to calculate the greatest common divisor of 356, 660, 422, 994?
We can find the highest common divisor of 356, 660, 422, 994 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 356, 660, 422, 994 i.e 2.
3. How can I use the GCD of 356, 660, 422, 994Calculator?
Out the numbers 356, 660, 422, 994 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.