Online GCD Calculator is useful to find the GCD of 133, 986, 299, 784 quickly. Get the easiest ways to solve the greatest common divisor of 133, 986, 299, 784 i.e 1 in different methods as follows.
Given Input numbers are 133, 986, 299, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 986 :
The positive integer divisors of 986 that completely divides 986 are.
1, 2, 17, 29, 34, 58, 493, 986
Divisors of 299 :
The positive integer divisors of 299 that completely divides 299 are.
1, 13, 23, 299
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (133, 986, 299, 784) = 1.
Given numbers are 133, 986, 299, 784
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 986 are 2 x 17 x 29
Prime factors of 299 are 13 x 23
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 986, 299, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 986) = 131138
GCD(133, 986) = ( 133 x 986 ) / 131138
= 133 / 986
= 133
Step2:
LCM(1, 299) = 299
GCD(1, 299) = ( 1 x 299 ) / 299
= 1 / 299
= 1
Step3:
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
= 1 / 784
= 1
So, Greatest Common Divisor of 133, 986, 299, 784 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 986, 299, 784
The greatest common divisor of numbers 133, 986, 299, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 986, 299, 784 is 1.
1. What is the GCD of 133, 986, 299, 784?
GCD of given numbers 133, 986, 299, 784 is 1
2. How to calculate the greatest common divisor of 133, 986, 299, 784?
We can find the highest common divisor of 133, 986, 299, 784 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 133, 986, 299, 784 i.e 1.
3. How can I use the GCD of 133, 986, 299, 784Calculator?
Out the numbers 133, 986, 299, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.