Online GCD Calculator is useful to find the GCD of 105, 940, 901, 902 quickly. Get the easiest ways to solve the greatest common divisor of 105, 940, 901, 902 i.e 1 in different methods as follows.
Given Input numbers are 105, 940, 901, 902
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 901 :
The positive integer divisors of 901 that completely divides 901 are.
1, 17, 53, 901
Divisors of 902 :
The positive integer divisors of 902 that completely divides 902 are.
1, 2, 11, 22, 41, 82, 451, 902
GCD of numbers is the greatest common divisor
So, the GCD (105, 940, 901, 902) = 1.
Given numbers are 105, 940, 901, 902
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 901 are 17 x 53
Prime factors of 902 are 2 x 11 x 41
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 940, 901, 902
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 940) = 19740
GCD(105, 940) = ( 105 x 940 ) / 19740
= 105 / 940
= 105
Step2:
LCM(5, 901) = 4505
GCD(5, 901) = ( 5 x 901 ) / 4505
= 5 / 901
= 5
Step3:
LCM(1, 902) = 902
GCD(1, 902) = ( 1 x 902 ) / 902
= 1 / 902
= 1
So, Greatest Common Divisor of 105, 940, 901, 902 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 940, 901, 902
The greatest common divisor of numbers 105, 940, 901, 902 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 940, 901, 902 is 1.
1. What is the GCD of 105, 940, 901, 902?
GCD of given numbers 105, 940, 901, 902 is 1
2. How to calculate the greatest common divisor of 105, 940, 901, 902?
We can find the highest common divisor of 105, 940, 901, 902 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 105, 940, 901, 902 i.e 1.
3. How can I use the GCD of 105, 940, 901, 902Calculator?
Out the numbers 105, 940, 901, 902 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.