Online GCD Calculator is useful to find the GCD of 642, 774, 844, 708 quickly. Get the easiest ways to solve the greatest common divisor of 642, 774, 844, 708 i.e 2 in different methods as follows.
Given Input numbers are 642, 774, 844, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 774 :
The positive integer divisors of 774 that completely divides 774 are.
1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
GCD of numbers is the greatest common divisor
So, the GCD (642, 774, 844, 708) = 2.
Given numbers are 642, 774, 844, 708
The list of prime factors of all numbers are
Prime factors of 642 are 2 x 3 x 107
Prime factors of 774 are 2 x 3 x 3 x 43
Prime factors of 844 are 2 x 2 x 211
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 642, 774, 844, 708 is 2.
Given numbers are 642, 774, 844, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(642, 774) = 82818
GCD(642, 774) = ( 642 x 774 ) / 82818
= 642 / 774
= 642
Step2:
LCM(6, 844) = 2532
GCD(6, 844) = ( 6 x 844 ) / 2532
= 6 / 844
= 6
Step3:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
So, Greatest Common Divisor of 642, 774, 844, 708 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 642, 774, 844, 708
The greatest common divisor of numbers 642, 774, 844, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 642, 774, 844, 708 is 2.
1. What is the GCD of 642, 774, 844, 708?
GCD of given numbers 642, 774, 844, 708 is 2
2. How to calculate the greatest common divisor of 642, 774, 844, 708?
We can find the highest common divisor of 642, 774, 844, 708 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 642, 774, 844, 708 i.e 2.
3. How can I use the GCD of 642, 774, 844, 708Calculator?
Out the numbers 642, 774, 844, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.