Online GCD Calculator is useful to find the GCD of 794, 990, 149, 900 quickly. Get the easiest ways to solve the greatest common divisor of 794, 990, 149, 900 i.e 1 in different methods as follows.
Given Input numbers are 794, 990, 149, 900
In the factoring method, we have to find the divisors of all numbers
Divisors of 794 :
The positive integer divisors of 794 that completely divides 794 are.
1, 2, 397, 794
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
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 (794, 990, 149, 900) = 1.
Given numbers are 794, 990, 149, 900
The list of prime factors of all numbers are
Prime factors of 794 are 2 x 397
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 149 are 149
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 794, 990, 149, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(794, 990) = 393030
GCD(794, 990) = ( 794 x 990 ) / 393030
= 794 / 990
= 794
Step2:
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
= 2 / 149
= 2
Step3:
LCM(1, 900) = 900
GCD(1, 900) = ( 1 x 900 ) / 900
= 1 / 900
= 1
So, Greatest Common Divisor of 794, 990, 149, 900 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 794, 990, 149, 900
The greatest common divisor of numbers 794, 990, 149, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 794, 990, 149, 900 is 1.
1. What is the GCD of 794, 990, 149, 900?
GCD of given numbers 794, 990, 149, 900 is 1
2. How to calculate the greatest common divisor of 794, 990, 149, 900?
We can find the highest common divisor of 794, 990, 149, 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 794, 990, 149, 900 i.e 1.
3. How can I use the GCD of 794, 990, 149, 900Calculator?
Out the numbers 794, 990, 149, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.