Online GCD Calculator is useful to find the GCD of 100, 283, 135, 404 quickly. Get the easiest ways to solve the greatest common divisor of 100, 283, 135, 404 i.e 1 in different methods as follows.
Given Input numbers are 100, 283, 135, 404
In the factoring method, we have to find the divisors of all numbers
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 283 :
The positive integer divisors of 283 that completely divides 283 are.
1, 283
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
GCD of numbers is the greatest common divisor
So, the GCD (100, 283, 135, 404) = 1.
Given numbers are 100, 283, 135, 404
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 283 are 283
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 404 are 2 x 2 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 283, 135, 404
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 283) = 28300
GCD(100, 283) = ( 100 x 283 ) / 28300
= 100 / 283
= 100
Step2:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
Step3:
LCM(1, 404) = 404
GCD(1, 404) = ( 1 x 404 ) / 404
= 1 / 404
= 1
So, Greatest Common Divisor of 100, 283, 135, 404 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 283, 135, 404
The greatest common divisor of numbers 100, 283, 135, 404 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 283, 135, 404 is 1.
1. What is the GCD of 100, 283, 135, 404?
GCD of given numbers 100, 283, 135, 404 is 1
2. How to calculate the greatest common divisor of 100, 283, 135, 404?
We can find the highest common divisor of 100, 283, 135, 404 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 100, 283, 135, 404 i.e 1.
3. How can I use the GCD of 100, 283, 135, 404Calculator?
Out the numbers 100, 283, 135, 404 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.