Online GCD Calculator is useful to find the GCD of 872, 972, 636, 684 quickly. Get the easiest ways to solve the greatest common divisor of 872, 972, 636, 684 i.e 4 in different methods as follows.
Given Input numbers are 872, 972, 636, 684
In the factoring method, we have to find the divisors of all numbers
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 636 :
The positive integer divisors of 636 that completely divides 636 are.
1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
GCD of numbers is the greatest common divisor
So, the GCD (872, 972, 636, 684) = 4.
Given numbers are 872, 972, 636, 684
The list of prime factors of all numbers are
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 636 are 2 x 2 x 3 x 53
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
The highest common occurrence is 22
Therefore, GCD of 872, 972, 636, 684 is 4.
Given numbers are 872, 972, 636, 684
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(872, 972) = 211896
GCD(872, 972) = ( 872 x 972 ) / 211896
= 872 / 972
= 872
Step2:
LCM(4, 636) = 636
GCD(4, 636) = ( 4 x 636 ) / 636
= 4 / 636
= 4
Step3:
LCM(4, 684) = 684
GCD(4, 684) = ( 4 x 684 ) / 684
= 4 / 684
= 4
So, Greatest Common Divisor of 872, 972, 636, 684 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 872, 972, 636, 684
The greatest common divisor of numbers 872, 972, 636, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 872, 972, 636, 684 is 4.
1. What is the GCD of 872, 972, 636, 684?
GCD of given numbers 872, 972, 636, 684 is 4
2. How to calculate the greatest common divisor of 872, 972, 636, 684?
We can find the highest common divisor of 872, 972, 636, 684 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 872, 972, 636, 684 i.e 4.
3. How can I use the GCD of 872, 972, 636, 684Calculator?
Out the numbers 872, 972, 636, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.