Online GCD Calculator is useful to find the GCD of 626, 964, 314, 820 quickly. Get the easiest ways to solve the greatest common divisor of 626, 964, 314, 820 i.e 2 in different methods as follows.
Given Input numbers are 626, 964, 314, 820
In the factoring method, we have to find the divisors of all numbers
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
Divisors of 964 :
The positive integer divisors of 964 that completely divides 964 are.
1, 2, 4, 241, 482, 964
Divisors of 314 :
The positive integer divisors of 314 that completely divides 314 are.
1, 2, 157, 314
Divisors of 820 :
The positive integer divisors of 820 that completely divides 820 are.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
GCD of numbers is the greatest common divisor
So, the GCD (626, 964, 314, 820) = 2.
Given numbers are 626, 964, 314, 820
The list of prime factors of all numbers are
Prime factors of 626 are 2 x 313
Prime factors of 964 are 2 x 2 x 241
Prime factors of 314 are 2 x 157
Prime factors of 820 are 2 x 2 x 5 x 41
The highest common occurrence is 21
Therefore, GCD of 626, 964, 314, 820 is 2.
Given numbers are 626, 964, 314, 820
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(626, 964) = 301732
GCD(626, 964) = ( 626 x 964 ) / 301732
= 626 / 964
= 626
Step2:
LCM(2, 314) = 314
GCD(2, 314) = ( 2 x 314 ) / 314
= 2 / 314
= 2
Step3:
LCM(2, 820) = 820
GCD(2, 820) = ( 2 x 820 ) / 820
= 2 / 820
= 2
So, Greatest Common Divisor of 626, 964, 314, 820 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 626, 964, 314, 820
The greatest common divisor of numbers 626, 964, 314, 820 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 626, 964, 314, 820 is 2.
1. What is the GCD of 626, 964, 314, 820?
GCD of given numbers 626, 964, 314, 820 is 2
2. How to calculate the greatest common divisor of 626, 964, 314, 820?
We can find the highest common divisor of 626, 964, 314, 820 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 626, 964, 314, 820 i.e 2.
3. How can I use the GCD of 626, 964, 314, 820Calculator?
Out the numbers 626, 964, 314, 820 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.