Online GCD Calculator is useful to find the GCD of 856, 132, 864, 140 quickly. Get the easiest ways to solve the greatest common divisor of 856, 132, 864, 140 i.e 4 in different methods as follows.
Given Input numbers are 856, 132, 864, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 856 :
The positive integer divisors of 856 that completely divides 856 are.
1, 2, 4, 8, 107, 214, 428, 856
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (856, 132, 864, 140) = 4.
Given numbers are 856, 132, 864, 140
The list of prime factors of all numbers are
Prime factors of 856 are 2 x 2 x 2 x 107
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 856, 132, 864, 140 is 4.
Given numbers are 856, 132, 864, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(856, 132) = 28248
GCD(856, 132) = ( 856 x 132 ) / 28248
= 856 / 132
= 856
Step2:
LCM(4, 864) = 864
GCD(4, 864) = ( 4 x 864 ) / 864
= 4 / 864
= 4
Step3:
LCM(4, 140) = 140
GCD(4, 140) = ( 4 x 140 ) / 140
= 4 / 140
= 4
So, Greatest Common Divisor of 856, 132, 864, 140 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 856, 132, 864, 140
The greatest common divisor of numbers 856, 132, 864, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 856, 132, 864, 140 is 4.
1. What is the GCD of 856, 132, 864, 140?
GCD of given numbers 856, 132, 864, 140 is 4
2. How to calculate the greatest common divisor of 856, 132, 864, 140?
We can find the highest common divisor of 856, 132, 864, 140 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 856, 132, 864, 140 i.e 4.
3. How can I use the GCD of 856, 132, 864, 140Calculator?
Out the numbers 856, 132, 864, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.