Online GCD Calculator is useful to find the GCD of 213, 992, 130, 144 quickly. Get the easiest ways to solve the greatest common divisor of 213, 992, 130, 144 i.e 1 in different methods as follows.
Given Input numbers are 213, 992, 130, 144
In the factoring method, we have to find the divisors of all numbers
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
GCD of numbers is the greatest common divisor
So, the GCD (213, 992, 130, 144) = 1.
Given numbers are 213, 992, 130, 144
The list of prime factors of all numbers are
Prime factors of 213 are 3 x 71
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 130 are 2 x 5 x 13
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 213, 992, 130, 144
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(213, 992) = 211296
GCD(213, 992) = ( 213 x 992 ) / 211296
= 213 / 992
= 213
Step2:
LCM(1, 130) = 130
GCD(1, 130) = ( 1 x 130 ) / 130
= 1 / 130
= 1
Step3:
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
= 1 / 144
= 1
So, Greatest Common Divisor of 213, 992, 130, 144 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 213, 992, 130, 144
The greatest common divisor of numbers 213, 992, 130, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 992, 130, 144 is 1.
1. What is the GCD of 213, 992, 130, 144?
GCD of given numbers 213, 992, 130, 144 is 1
2. How to calculate the greatest common divisor of 213, 992, 130, 144?
We can find the highest common divisor of 213, 992, 130, 144 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 213, 992, 130, 144 i.e 1.
3. How can I use the GCD of 213, 992, 130, 144Calculator?
Out the numbers 213, 992, 130, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.