Online GCD Calculator is useful to find the GCD of 224, 130, 84, 997 quickly. Get the easiest ways to solve the greatest common divisor of 224, 130, 84, 997 i.e 1 in different methods as follows.
Given Input numbers are 224, 130, 84, 997
In the factoring method, we have to find the divisors of all numbers
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 130 :
The positive integer divisors of 130 that completely divides 130 are.
1, 2, 5, 10, 13, 26, 65, 130
Divisors of 84 :
The positive integer divisors of 84 that completely divides 84 are.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 997 :
The positive integer divisors of 997 that completely divides 997 are.
1, 997
GCD of numbers is the greatest common divisor
So, the GCD (224, 130, 84, 997) = 1.
Given numbers are 224, 130, 84, 997
The list of prime factors of all numbers are
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 130 are 2 x 5 x 13
Prime factors of 84 are 2 x 2 x 3 x 7
Prime factors of 997 are 997
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 224, 130, 84, 997
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(224, 130) = 14560
GCD(224, 130) = ( 224 x 130 ) / 14560
= 224 / 130
= 224
Step2:
LCM(2, 84) = 84
GCD(2, 84) = ( 2 x 84 ) / 84
= 2 / 84
= 2
Step3:
LCM(2, 997) = 1994
GCD(2, 997) = ( 2 x 997 ) / 1994
= 2 / 997
= 2
So, Greatest Common Divisor of 224, 130, 84, 997 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 224, 130, 84, 997
The greatest common divisor of numbers 224, 130, 84, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 224, 130, 84, 997 is 1.
1. What is the GCD of 224, 130, 84, 997?
GCD of given numbers 224, 130, 84, 997 is 1
2. How to calculate the greatest common divisor of 224, 130, 84, 997?
We can find the highest common divisor of 224, 130, 84, 997 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 224, 130, 84, 997 i.e 1.
3. How can I use the GCD of 224, 130, 84, 997Calculator?
Out the numbers 224, 130, 84, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.