Online GCD Calculator is useful to find the GCD of 268, 102, 138, 839 quickly. Get the easiest ways to solve the greatest common divisor of 268, 102, 138, 839 i.e 1 in different methods as follows.
Given Input numbers are 268, 102, 138, 839
In the factoring method, we have to find the divisors of all numbers
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 839 :
The positive integer divisors of 839 that completely divides 839 are.
1, 839
GCD of numbers is the greatest common divisor
So, the GCD (268, 102, 138, 839) = 1.
Given numbers are 268, 102, 138, 839
The list of prime factors of all numbers are
Prime factors of 268 are 2 x 2 x 67
Prime factors of 102 are 2 x 3 x 17
Prime factors of 138 are 2 x 3 x 23
Prime factors of 839 are 839
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 268, 102, 138, 839
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(268, 102) = 13668
GCD(268, 102) = ( 268 x 102 ) / 13668
= 268 / 102
= 268
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
Step3:
LCM(2, 839) = 1678
GCD(2, 839) = ( 2 x 839 ) / 1678
= 2 / 839
= 2
So, Greatest Common Divisor of 268, 102, 138, 839 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 268, 102, 138, 839
The greatest common divisor of numbers 268, 102, 138, 839 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 102, 138, 839 is 1.
1. What is the GCD of 268, 102, 138, 839?
GCD of given numbers 268, 102, 138, 839 is 1
2. How to calculate the greatest common divisor of 268, 102, 138, 839?
We can find the highest common divisor of 268, 102, 138, 839 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 268, 102, 138, 839 i.e 1.
3. How can I use the GCD of 268, 102, 138, 839Calculator?
Out the numbers 268, 102, 138, 839 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.