Online GCD Calculator is useful to find the GCD of 708, 768, 795, 882 quickly. Get the easiest ways to solve the greatest common divisor of 708, 768, 795, 882 i.e 3 in different methods as follows.
Given Input numbers are 708, 768, 795, 882
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 768 :
The positive integer divisors of 768 that completely divides 768 are.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
Divisors of 795 :
The positive integer divisors of 795 that completely divides 795 are.
1, 3, 5, 15, 53, 159, 265, 795
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (708, 768, 795, 882) = 3.
Given numbers are 708, 768, 795, 882
The list of prime factors of all numbers are
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 768 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3
Prime factors of 795 are 3 x 5 x 53
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The highest common occurrence is 31
Therefore, GCD of 708, 768, 795, 882 is 3.
Given numbers are 708, 768, 795, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(708, 768) = 45312
GCD(708, 768) = ( 708 x 768 ) / 45312
= 708 / 768
= 708
Step2:
LCM(12, 795) = 3180
GCD(12, 795) = ( 12 x 795 ) / 3180
= 12 / 795
= 12
Step3:
LCM(3, 882) = 882
GCD(3, 882) = ( 3 x 882 ) / 882
= 3 / 882
= 3
So, Greatest Common Divisor of 708, 768, 795, 882 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 708, 768, 795, 882
The greatest common divisor of numbers 708, 768, 795, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 768, 795, 882 is 3.
1. What is the GCD of 708, 768, 795, 882?
GCD of given numbers 708, 768, 795, 882 is 3
2. How to calculate the greatest common divisor of 708, 768, 795, 882?
We can find the highest common divisor of 708, 768, 795, 882 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 708, 768, 795, 882 i.e 3.
3. How can I use the GCD of 708, 768, 795, 882Calculator?
Out the numbers 708, 768, 795, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.