Online GCD Calculator is useful to find the GCD of 138, 214, 154, 826 quickly. Get the easiest ways to solve the greatest common divisor of 138, 214, 154, 826 i.e 2 in different methods as follows.
Given Input numbers are 138, 214, 154, 826
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 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 826 :
The positive integer divisors of 826 that completely divides 826 are.
1, 2, 7, 14, 59, 118, 413, 826
GCD of numbers is the greatest common divisor
So, the GCD (138, 214, 154, 826) = 2.
Given numbers are 138, 214, 154, 826
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 214 are 2 x 107
Prime factors of 154 are 2 x 7 x 11
Prime factors of 826 are 2 x 7 x 59
The highest common occurrence is 21
Therefore, GCD of 138, 214, 154, 826 is 2.
Given numbers are 138, 214, 154, 826
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 214) = 14766
GCD(138, 214) = ( 138 x 214 ) / 14766
= 138 / 214
= 138
Step2:
LCM(2, 154) = 154
GCD(2, 154) = ( 2 x 154 ) / 154
= 2 / 154
= 2
Step3:
LCM(2, 826) = 826
GCD(2, 826) = ( 2 x 826 ) / 826
= 2 / 826
= 2
So, Greatest Common Divisor of 138, 214, 154, 826 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 214, 154, 826
The greatest common divisor of numbers 138, 214, 154, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 214, 154, 826 is 2.
1. What is the GCD of 138, 214, 154, 826?
GCD of given numbers 138, 214, 154, 826 is 2
2. How to calculate the greatest common divisor of 138, 214, 154, 826?
We can find the highest common divisor of 138, 214, 154, 826 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, 214, 154, 826 i.e 2.
3. How can I use the GCD of 138, 214, 154, 826Calculator?
Out the numbers 138, 214, 154, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.