Online GCD Calculator is useful to find the GCD of 561, 113, 914, 938 quickly. Get the easiest ways to solve the greatest common divisor of 561, 113, 914, 938 i.e 1 in different methods as follows.
Given Input numbers are 561, 113, 914, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 561 :
The positive integer divisors of 561 that completely divides 561 are.
1, 3, 11, 17, 33, 51, 187, 561
Divisors of 113 :
The positive integer divisors of 113 that completely divides 113 are.
1, 113
Divisors of 914 :
The positive integer divisors of 914 that completely divides 914 are.
1, 2, 457, 914
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (561, 113, 914, 938) = 1.
Given numbers are 561, 113, 914, 938
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 113 are 113
Prime factors of 914 are 2 x 457
Prime factors of 938 are 2 x 7 x 67
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 113, 914, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 113) = 63393
GCD(561, 113) = ( 561 x 113 ) / 63393
= 561 / 113
= 561
Step2:
LCM(1, 914) = 914
GCD(1, 914) = ( 1 x 914 ) / 914
= 1 / 914
= 1
Step3:
LCM(1, 938) = 938
GCD(1, 938) = ( 1 x 938 ) / 938
= 1 / 938
= 1
So, Greatest Common Divisor of 561, 113, 914, 938 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 113, 914, 938
The greatest common divisor of numbers 561, 113, 914, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 113, 914, 938 is 1.
1. What is the GCD of 561, 113, 914, 938?
GCD of given numbers 561, 113, 914, 938 is 1
2. How to calculate the greatest common divisor of 561, 113, 914, 938?
We can find the highest common divisor of 561, 113, 914, 938 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 561, 113, 914, 938 i.e 1.
3. How can I use the GCD of 561, 113, 914, 938Calculator?
Out the numbers 561, 113, 914, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.