Online GCD Calculator is useful to find the GCD of 138, 986, 896, 565 quickly. Get the easiest ways to solve the greatest common divisor of 138, 986, 896, 565 i.e 1 in different methods as follows.
Given Input numbers are 138, 986, 896, 565
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
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 565 :
The positive integer divisors of 565 that completely divides 565 are.
1, 5, 113, 565
GCD of numbers is the greatest common divisor
So, the GCD (138, 986, 896, 565) = 1.
Given numbers are 138, 986, 896, 565
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 986 are 2 x 17 x 29
Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 565 are 5 x 113
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 138, 986, 896, 565
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 986) = 68034
GCD(138, 986) = ( 138 x 986 ) / 68034
= 138 / 986
= 138
Step2:
LCM(2, 896) = 896
GCD(2, 896) = ( 2 x 896 ) / 896
= 2 / 896
= 2
Step3:
LCM(2, 565) = 1130
GCD(2, 565) = ( 2 x 565 ) / 1130
= 2 / 565
= 2
So, Greatest Common Divisor of 138, 986, 896, 565 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 986, 896, 565
The greatest common divisor of numbers 138, 986, 896, 565 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 986, 896, 565 is 1.
1. What is the GCD of 138, 986, 896, 565?
GCD of given numbers 138, 986, 896, 565 is 1
2. How to calculate the greatest common divisor of 138, 986, 896, 565?
We can find the highest common divisor of 138, 986, 896, 565 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 138, 986, 896, 565 i.e 1.
3. How can I use the GCD of 138, 986, 896, 565Calculator?
Out the numbers 138, 986, 896, 565 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.