Online GCD Calculator is useful to find the GCD of 404, 107, 140, 900 quickly. Get the easiest ways to solve the greatest common divisor of 404, 107, 140, 900 i.e 1 in different methods as follows.
Given Input numbers are 404, 107, 140, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 404 :
The positive integer divisors of 404 that completely divides 404 are.
1, 2, 4, 101, 202, 404
Divisors of 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (404, 107, 140, 900) = 1.
Given numbers are 404, 107, 140, 900
The list of prime factors of all numbers are
Prime factors of 404 are 2 x 2 x 101
Prime factors of 107 are 107
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 404, 107, 140, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(404, 107) = 43228
GCD(404, 107) = ( 404 x 107 ) / 43228
= 404 / 107
= 404
Step2:
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
= 1 / 140
= 1
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 404, 107, 140, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 404, 107, 140, 900
The greatest common divisor of numbers 404, 107, 140, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 404, 107, 140, 900 is 1.
1. What is the GCD of 404, 107, 140, 900?
GCD of given numbers 404, 107, 140, 900 is 1
2. How to calculate the greatest common divisor of 404, 107, 140, 900?
We can find the highest common divisor of 404, 107, 140, 900 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 404, 107, 140, 900 i.e 1.
3. How can I use the GCD of 404, 107, 140, 900Calculator?
Out the numbers 404, 107, 140, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.