Online GCD Calculator is useful to find the GCD of 491, 105, 628, 961 quickly. Get the easiest ways to solve the greatest common divisor of 491, 105, 628, 961 i.e 1 in different methods as follows.
Given Input numbers are 491, 105, 628, 961
In the factoring method, we have to find the divisors of all numbers
Divisors of 491 :
The positive integer divisors of 491 that completely divides 491 are.
1, 491
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 961 :
The positive integer divisors of 961 that completely divides 961 are.
1, 31, 961
GCD of numbers is the greatest common divisor
So, the GCD (491, 105, 628, 961) = 1.
Given numbers are 491, 105, 628, 961
The list of prime factors of all numbers are
Prime factors of 491 are 491
Prime factors of 105 are 3 x 5 x 7
Prime factors of 628 are 2 x 2 x 157
Prime factors of 961 are 31 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 491, 105, 628, 961
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(491, 105) = 51555
GCD(491, 105) = ( 491 x 105 ) / 51555
= 491 / 105
= 491
Step2:
LCM(1, 628) = 628
GCD(1, 628) = ( 1 x 628 ) / 628
= 1 / 628
= 1
Step3:
LCM(1, 961) = 961
GCD(1, 961) = ( 1 x 961 ) / 961
= 1 / 961
= 1
So, Greatest Common Divisor of 491, 105, 628, 961 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 491, 105, 628, 961
The greatest common divisor of numbers 491, 105, 628, 961 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 105, 628, 961 is 1.
1. What is the GCD of 491, 105, 628, 961?
GCD of given numbers 491, 105, 628, 961 is 1
2. How to calculate the greatest common divisor of 491, 105, 628, 961?
We can find the highest common divisor of 491, 105, 628, 961 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 491, 105, 628, 961 i.e 1.
3. How can I use the GCD of 491, 105, 628, 961Calculator?
Out the numbers 491, 105, 628, 961 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.