Online GCD Calculator is useful to find the GCD of 561, 369, 140, 992 quickly. Get the easiest ways to solve the greatest common divisor of 561, 369, 140, 992 i.e 1 in different methods as follows.
Given Input numbers are 561, 369, 140, 992
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 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
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 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
GCD of numbers is the greatest common divisor
So, the GCD (561, 369, 140, 992) = 1.
Given numbers are 561, 369, 140, 992
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 369 are 3 x 3 x 41
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 369, 140, 992
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 369) = 69003
GCD(561, 369) = ( 561 x 369 ) / 69003
= 561 / 369
= 561
Step2:
LCM(3, 140) = 420
GCD(3, 140) = ( 3 x 140 ) / 420
= 3 / 140
= 3
Step3:
LCM(1, 992) = 992
GCD(1, 992) = ( 1 x 992 ) / 992
= 1 / 992
= 1
So, Greatest Common Divisor of 561, 369, 140, 992 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 369, 140, 992
The greatest common divisor of numbers 561, 369, 140, 992 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 369, 140, 992 is 1.
1. What is the GCD of 561, 369, 140, 992?
GCD of given numbers 561, 369, 140, 992 is 1
2. How to calculate the greatest common divisor of 561, 369, 140, 992?
We can find the highest common divisor of 561, 369, 140, 992 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, 369, 140, 992 i.e 1.
3. How can I use the GCD of 561, 369, 140, 992Calculator?
Out the numbers 561, 369, 140, 992 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.