Online GCD Calculator is useful to find the GCD of 254, 626, 138, 212 quickly. Get the easiest ways to solve the greatest common divisor of 254, 626, 138, 212 i.e 2 in different methods as follows.
Given Input numbers are 254, 626, 138, 212
In the factoring method, we have to find the divisors of all numbers
Divisors of 254 :
The positive integer divisors of 254 that completely divides 254 are.
1, 2, 127, 254
Divisors of 626 :
The positive integer divisors of 626 that completely divides 626 are.
1, 2, 313, 626
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 212 :
The positive integer divisors of 212 that completely divides 212 are.
1, 2, 4, 53, 106, 212
GCD of numbers is the greatest common divisor
So, the GCD (254, 626, 138, 212) = 2.
Given numbers are 254, 626, 138, 212
The list of prime factors of all numbers are
Prime factors of 254 are 2 x 127
Prime factors of 626 are 2 x 313
Prime factors of 138 are 2 x 3 x 23
Prime factors of 212 are 2 x 2 x 53
The highest common occurrence is 21
Therefore, GCD of 254, 626, 138, 212 is 2.
Given numbers are 254, 626, 138, 212
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(254, 626) = 79502
GCD(254, 626) = ( 254 x 626 ) / 79502
= 254 / 626
= 254
Step2:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
Step3:
LCM(2, 212) = 212
GCD(2, 212) = ( 2 x 212 ) / 212
= 2 / 212
= 2
So, Greatest Common Divisor of 254, 626, 138, 212 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 254, 626, 138, 212
The greatest common divisor of numbers 254, 626, 138, 212 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 254, 626, 138, 212 is 2.
1. What is the GCD of 254, 626, 138, 212?
GCD of given numbers 254, 626, 138, 212 is 2
2. How to calculate the greatest common divisor of 254, 626, 138, 212?
We can find the highest common divisor of 254, 626, 138, 212 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 254, 626, 138, 212 i.e 2.
3. How can I use the GCD of 254, 626, 138, 212Calculator?
Out the numbers 254, 626, 138, 212 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.