Online GCD Calculator is useful to find the GCD of 940, 512, 164, 694 quickly. Get the easiest ways to solve the greatest common divisor of 940, 512, 164, 694 i.e 2 in different methods as follows.
Given Input numbers are 940, 512, 164, 694
In the factoring method, we have to find the divisors of all numbers
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 512 :
The positive integer divisors of 512 that completely divides 512 are.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Divisors of 164 :
The positive integer divisors of 164 that completely divides 164 are.
1, 2, 4, 41, 82, 164
Divisors of 694 :
The positive integer divisors of 694 that completely divides 694 are.
1, 2, 347, 694
GCD of numbers is the greatest common divisor
So, the GCD (940, 512, 164, 694) = 2.
Given numbers are 940, 512, 164, 694
The list of prime factors of all numbers are
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Prime factors of 164 are 2 x 2 x 41
Prime factors of 694 are 2 x 347
The highest common occurrence is 21
Therefore, GCD of 940, 512, 164, 694 is 2.
Given numbers are 940, 512, 164, 694
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(940, 512) = 120320
GCD(940, 512) = ( 940 x 512 ) / 120320
= 940 / 512
= 940
Step2:
LCM(4, 164) = 164
GCD(4, 164) = ( 4 x 164 ) / 164
= 4 / 164
= 4
Step3:
LCM(4, 694) = 1388
GCD(4, 694) = ( 4 x 694 ) / 1388
= 4 / 694
= 4
So, Greatest Common Divisor of 940, 512, 164, 694 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 940, 512, 164, 694
The greatest common divisor of numbers 940, 512, 164, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 512, 164, 694 is 2.
1. What is the GCD of 940, 512, 164, 694?
GCD of given numbers 940, 512, 164, 694 is 2
2. How to calculate the greatest common divisor of 940, 512, 164, 694?
We can find the highest common divisor of 940, 512, 164, 694 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 940, 512, 164, 694 i.e 2.
3. How can I use the GCD of 940, 512, 164, 694Calculator?
Out the numbers 940, 512, 164, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.