Online GCD Calculator is useful to find the GCD of 140, 903, 891, 105 quickly. Get the easiest ways to solve the greatest common divisor of 140, 903, 891, 105 i.e 1 in different methods as follows.
Given Input numbers are 140, 903, 891, 105
In the factoring method, we have to find the divisors of all numbers
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 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
Divisors of 891 :
The positive integer divisors of 891 that completely divides 891 are.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
GCD of numbers is the greatest common divisor
So, the GCD (140, 903, 891, 105) = 1.
Given numbers are 140, 903, 891, 105
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 903 are 3 x 7 x 43
Prime factors of 891 are 3 x 3 x 3 x 3 x 11
Prime factors of 105 are 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 140, 903, 891, 105
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 903) = 18060
GCD(140, 903) = ( 140 x 903 ) / 18060
= 140 / 903
= 140
Step2:
LCM(7, 891) = 6237
GCD(7, 891) = ( 7 x 891 ) / 6237
= 7 / 891
= 7
Step3:
LCM(1, 105) = 105
GCD(1, 105) = ( 1 x 105 ) / 105
= 1 / 105
= 1
So, Greatest Common Divisor of 140, 903, 891, 105 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 903, 891, 105
The greatest common divisor of numbers 140, 903, 891, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 903, 891, 105 is 1.
1. What is the GCD of 140, 903, 891, 105?
GCD of given numbers 140, 903, 891, 105 is 1
2. How to calculate the greatest common divisor of 140, 903, 891, 105?
We can find the highest common divisor of 140, 903, 891, 105 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 140, 903, 891, 105 i.e 1.
3. How can I use the GCD of 140, 903, 891, 105Calculator?
Out the numbers 140, 903, 891, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.