Online GCD Calculator is useful to find the GCD of 868, 788, 148, 216 quickly. Get the easiest ways to solve the greatest common divisor of 868, 788, 148, 216 i.e 4 in different methods as follows.
Given Input numbers are 868, 788, 148, 216
In the factoring method, we have to find the divisors of all numbers
Divisors of 868 :
The positive integer divisors of 868 that completely divides 868 are.
1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
GCD of numbers is the greatest common divisor
So, the GCD (868, 788, 148, 216) = 4.
Given numbers are 868, 788, 148, 216
The list of prime factors of all numbers are
Prime factors of 868 are 2 x 2 x 7 x 31
Prime factors of 788 are 2 x 2 x 197
Prime factors of 148 are 2 x 2 x 37
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 22
Therefore, GCD of 868, 788, 148, 216 is 4.
Given numbers are 868, 788, 148, 216
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(868, 788) = 170996
GCD(868, 788) = ( 868 x 788 ) / 170996
= 868 / 788
= 868
Step2:
LCM(4, 148) = 148
GCD(4, 148) = ( 4 x 148 ) / 148
= 4 / 148
= 4
Step3:
LCM(4, 216) = 216
GCD(4, 216) = ( 4 x 216 ) / 216
= 4 / 216
= 4
So, Greatest Common Divisor of 868, 788, 148, 216 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 868, 788, 148, 216
The greatest common divisor of numbers 868, 788, 148, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 868, 788, 148, 216 is 4.
1. What is the GCD of 868, 788, 148, 216?
GCD of given numbers 868, 788, 148, 216 is 4
2. How to calculate the greatest common divisor of 868, 788, 148, 216?
We can find the highest common divisor of 868, 788, 148, 216 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 868, 788, 148, 216 i.e 4.
3. How can I use the GCD of 868, 788, 148, 216Calculator?
Out the numbers 868, 788, 148, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.