Online GCD Calculator is useful to find the GCD of 338, 687, 448, 132 quickly. Get the easiest ways to solve the greatest common divisor of 338, 687, 448, 132 i.e 1 in different methods as follows.
Given Input numbers are 338, 687, 448, 132
In the factoring method, we have to find the divisors of all numbers
Divisors of 338 :
The positive integer divisors of 338 that completely divides 338 are.
1, 2, 13, 26, 169, 338
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
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 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (338, 687, 448, 132) = 1.
Given numbers are 338, 687, 448, 132
The list of prime factors of all numbers are
Prime factors of 338 are 2 x 13 x 13
Prime factors of 687 are 3 x 229
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 132 are 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 338, 687, 448, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(338, 687) = 232206
GCD(338, 687) = ( 338 x 687 ) / 232206
= 338 / 687
= 338
Step2:
LCM(1, 448) = 448
GCD(1, 448) = ( 1 x 448 ) / 448
= 1 / 448
= 1
Step3:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
So, Greatest Common Divisor of 338, 687, 448, 132 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 338, 687, 448, 132
The greatest common divisor of numbers 338, 687, 448, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 338, 687, 448, 132 is 1.
1. What is the GCD of 338, 687, 448, 132?
GCD of given numbers 338, 687, 448, 132 is 1
2. How to calculate the greatest common divisor of 338, 687, 448, 132?
We can find the highest common divisor of 338, 687, 448, 132 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 338, 687, 448, 132 i.e 1.
3. How can I use the GCD of 338, 687, 448, 132Calculator?
Out the numbers 338, 687, 448, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.