Online GCD Calculator is useful to find the GCD of 810, 896, 138, 988 quickly. Get the easiest ways to solve the greatest common divisor of 810, 896, 138, 988 i.e 2 in different methods as follows.
Given Input numbers are 810, 896, 138, 988
In the factoring method, we have to find the divisors of all numbers
Divisors of 810 :
The positive integer divisors of 810 that completely divides 810 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
Divisors of 896 :
The positive integer divisors of 896 that completely divides 896 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
GCD of numbers is the greatest common divisor
So, the GCD (810, 896, 138, 988) = 2.
Given numbers are 810, 896, 138, 988
The list of prime factors of all numbers are
Prime factors of 810 are 2 x 3 x 3 x 3 x 3 x 5
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 138 are 2 x 3 x 23
Prime factors of 988 are 2 x 2 x 13 x 19
The highest common occurrence is 21
Therefore, GCD of 810, 896, 138, 988 is 2.
Given numbers are 810, 896, 138, 988
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(810, 896) = 362880
GCD(810, 896) = ( 810 x 896 ) / 362880
= 810 / 896
= 810
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
Step3:
LCM(2, 988) = 988
GCD(2, 988) = ( 2 x 988 ) / 988
= 2 / 988
= 2
So, Greatest Common Divisor of 810, 896, 138, 988 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 810, 896, 138, 988
The greatest common divisor of numbers 810, 896, 138, 988 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 810, 896, 138, 988 is 2.
1. What is the GCD of 810, 896, 138, 988?
GCD of given numbers 810, 896, 138, 988 is 2
2. How to calculate the greatest common divisor of 810, 896, 138, 988?
We can find the highest common divisor of 810, 896, 138, 988 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 810, 896, 138, 988 i.e 2.
3. How can I use the GCD of 810, 896, 138, 988Calculator?
Out the numbers 810, 896, 138, 988 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.