Online GCD Calculator is useful to find the GCD of 561, 537, 434, 132 quickly. Get the easiest ways to solve the greatest common divisor of 561, 537, 434, 132 i.e 1 in different methods as follows.
Given Input numbers are 561, 537, 434, 132
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 537 :
The positive integer divisors of 537 that completely divides 537 are.
1, 3, 179, 537
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (561, 537, 434, 132) = 1.
Given numbers are 561, 537, 434, 132
The list of prime factors of all numbers are
Prime factors of 561 are 3 x 11 x 17
Prime factors of 537 are 3 x 179
Prime factors of 434 are 2 x 7 x 31
Prime factors of 132 are 2 x 2 x 3 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 561, 537, 434, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(561, 537) = 100419
GCD(561, 537) = ( 561 x 537 ) / 100419
= 561 / 537
= 561
Step2:
LCM(3, 434) = 1302
GCD(3, 434) = ( 3 x 434 ) / 1302
= 3 / 434
= 3
Step3:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
So, Greatest Common Divisor of 561, 537, 434, 132 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 561, 537, 434, 132
The greatest common divisor of numbers 561, 537, 434, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 561, 537, 434, 132 is 1.
1. What is the GCD of 561, 537, 434, 132?
GCD of given numbers 561, 537, 434, 132 is 1
2. How to calculate the greatest common divisor of 561, 537, 434, 132?
We can find the highest common divisor of 561, 537, 434, 132 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, 537, 434, 132 i.e 1.
3. How can I use the GCD of 561, 537, 434, 132Calculator?
Out the numbers 561, 537, 434, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.