Online GCD Calculator is useful to find the GCD of 772, 846, 316, 644 quickly. Get the easiest ways to solve the greatest common divisor of 772, 846, 316, 644 i.e 2 in different methods as follows.
Given Input numbers are 772, 846, 316, 644
In the factoring method, we have to find the divisors of all numbers
Divisors of 772 :
The positive integer divisors of 772 that completely divides 772 are.
1, 2, 4, 193, 386, 772
Divisors of 846 :
The positive integer divisors of 846 that completely divides 846 are.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
GCD of numbers is the greatest common divisor
So, the GCD (772, 846, 316, 644) = 2.
Given numbers are 772, 846, 316, 644
The list of prime factors of all numbers are
Prime factors of 772 are 2 x 2 x 193
Prime factors of 846 are 2 x 3 x 3 x 47
Prime factors of 316 are 2 x 2 x 79
Prime factors of 644 are 2 x 2 x 7 x 23
The highest common occurrence is 21
Therefore, GCD of 772, 846, 316, 644 is 2.
Given numbers are 772, 846, 316, 644
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(772, 846) = 326556
GCD(772, 846) = ( 772 x 846 ) / 326556
= 772 / 846
= 772
Step2:
LCM(2, 316) = 316
GCD(2, 316) = ( 2 x 316 ) / 316
= 2 / 316
= 2
Step3:
LCM(2, 644) = 644
GCD(2, 644) = ( 2 x 644 ) / 644
= 2 / 644
= 2
So, Greatest Common Divisor of 772, 846, 316, 644 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 772, 846, 316, 644
The greatest common divisor of numbers 772, 846, 316, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 772, 846, 316, 644 is 2.
1. What is the GCD of 772, 846, 316, 644?
GCD of given numbers 772, 846, 316, 644 is 2
2. How to calculate the greatest common divisor of 772, 846, 316, 644?
We can find the highest common divisor of 772, 846, 316, 644 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 772, 846, 316, 644 i.e 2.
3. How can I use the GCD of 772, 846, 316, 644Calculator?
Out the numbers 772, 846, 316, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.