Online GCD Calculator is useful to find the GCD of 614, 940, 964, 428 quickly. Get the easiest ways to solve the greatest common divisor of 614, 940, 964, 428 i.e 2 in different methods as follows.
Given Input numbers are 614, 940, 964, 428
In the factoring method, we have to find the divisors of all numbers
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
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 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (614, 940, 964, 428) = 2.
Given numbers are 614, 940, 964, 428
The list of prime factors of all numbers are
Prime factors of 614 are 2 x 307
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 964 are 2 x 2 x 241
Prime factors of 428 are 2 x 2 x 107
The highest common occurrence is 21
Therefore, GCD of 614, 940, 964, 428 is 2.
Given numbers are 614, 940, 964, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(614, 940) = 288580
GCD(614, 940) = ( 614 x 940 ) / 288580
= 614 / 940
= 614
Step2:
LCM(2, 964) = 964
GCD(2, 964) = ( 2 x 964 ) / 964
= 2 / 964
= 2
Step3:
LCM(2, 428) = 428
GCD(2, 428) = ( 2 x 428 ) / 428
= 2 / 428
= 2
So, Greatest Common Divisor of 614, 940, 964, 428 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 614, 940, 964, 428
The greatest common divisor of numbers 614, 940, 964, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 614, 940, 964, 428 is 2.
1. What is the GCD of 614, 940, 964, 428?
GCD of given numbers 614, 940, 964, 428 is 2
2. How to calculate the greatest common divisor of 614, 940, 964, 428?
We can find the highest common divisor of 614, 940, 964, 428 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 614, 940, 964, 428 i.e 2.
3. How can I use the GCD of 614, 940, 964, 428Calculator?
Out the numbers 614, 940, 964, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.