Online GCD Calculator is useful to find the GCD of 290, 448, 544, 138 quickly. Get the easiest ways to solve the greatest common divisor of 290, 448, 544, 138 i.e 2 in different methods as follows.
Given Input numbers are 290, 448, 544, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 290 :
The positive integer divisors of 290 that completely divides 290 are.
1, 2, 5, 10, 29, 58, 145, 290
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (290, 448, 544, 138) = 2.
Given numbers are 290, 448, 544, 138
The list of prime factors of all numbers are
Prime factors of 290 are 2 x 5 x 29
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 138 are 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 290, 448, 544, 138 is 2.
Given numbers are 290, 448, 544, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(290, 448) = 64960
GCD(290, 448) = ( 290 x 448 ) / 64960
= 290 / 448
= 290
Step2:
LCM(2, 544) = 544
GCD(2, 544) = ( 2 x 544 ) / 544
= 2 / 544
= 2
Step3:
LCM(2, 138) = 138
GCD(2, 138) = ( 2 x 138 ) / 138
= 2 / 138
= 2
So, Greatest Common Divisor of 290, 448, 544, 138 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 290, 448, 544, 138
The greatest common divisor of numbers 290, 448, 544, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 290, 448, 544, 138 is 2.
1. What is the GCD of 290, 448, 544, 138?
GCD of given numbers 290, 448, 544, 138 is 2
2. How to calculate the greatest common divisor of 290, 448, 544, 138?
We can find the highest common divisor of 290, 448, 544, 138 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 290, 448, 544, 138 i.e 2.
3. How can I use the GCD of 290, 448, 544, 138Calculator?
Out the numbers 290, 448, 544, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.