Online GCD Calculator is useful to find the GCD of 990, 959, 100, 901 quickly. Get the easiest ways to solve the greatest common divisor of 990, 959, 100, 901 i.e 1 in different methods as follows.
Given Input numbers are 990, 959, 100, 901
In the factoring method, we have to find the divisors of all numbers
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 959 :
The positive integer divisors of 959 that completely divides 959 are.
1, 7, 137, 959
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 901 :
The positive integer divisors of 901 that completely divides 901 are.
1, 17, 53, 901
GCD of numbers is the greatest common divisor
So, the GCD (990, 959, 100, 901) = 1.
Given numbers are 990, 959, 100, 901
The list of prime factors of all numbers are
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
Prime factors of 959 are 7 x 137
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 901 are 17 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 990, 959, 100, 901
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(990, 959) = 949410
GCD(990, 959) = ( 990 x 959 ) / 949410
= 990 / 959
= 990
Step2:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
Step3:
LCM(1, 901) = 901
GCD(1, 901) = ( 1 x 901 ) / 901
= 1 / 901
= 1
So, Greatest Common Divisor of 990, 959, 100, 901 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 990, 959, 100, 901
The greatest common divisor of numbers 990, 959, 100, 901 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 990, 959, 100, 901 is 1.
1. What is the GCD of 990, 959, 100, 901?
GCD of given numbers 990, 959, 100, 901 is 1
2. How to calculate the greatest common divisor of 990, 959, 100, 901?
We can find the highest common divisor of 990, 959, 100, 901 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 990, 959, 100, 901 i.e 1.
3. How can I use the GCD of 990, 959, 100, 901Calculator?
Out the numbers 990, 959, 100, 901 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.