Online GCD Calculator is useful to find the GCD of 567, 132, 557, 696 quickly. Get the easiest ways to solve the greatest common divisor of 567, 132, 557, 696 i.e 1 in different methods as follows.
Given Input numbers are 567, 132, 557, 696
In the factoring method, we have to find the divisors of all numbers
Divisors of 567 :
The positive integer divisors of 567 that completely divides 567 are.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
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
Divisors of 557 :
The positive integer divisors of 557 that completely divides 557 are.
1, 557
Divisors of 696 :
The positive integer divisors of 696 that completely divides 696 are.
1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
GCD of numbers is the greatest common divisor
So, the GCD (567, 132, 557, 696) = 1.
Given numbers are 567, 132, 557, 696
The list of prime factors of all numbers are
Prime factors of 567 are 3 x 3 x 3 x 3 x 7
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 557 are 557
Prime factors of 696 are 2 x 2 x 2 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 567, 132, 557, 696
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 132) = 24948
GCD(567, 132) = ( 567 x 132 ) / 24948
= 567 / 132
= 567
Step2:
LCM(3, 557) = 1671
GCD(3, 557) = ( 3 x 557 ) / 1671
= 3 / 557
= 3
Step3:
LCM(1, 696) = 696
GCD(1, 696) = ( 1 x 696 ) / 696
= 1 / 696
= 1
So, Greatest Common Divisor of 567, 132, 557, 696 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 132, 557, 696
The greatest common divisor of numbers 567, 132, 557, 696 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 132, 557, 696 is 1.
1. What is the GCD of 567, 132, 557, 696?
GCD of given numbers 567, 132, 557, 696 is 1
2. How to calculate the greatest common divisor of 567, 132, 557, 696?
We can find the highest common divisor of 567, 132, 557, 696 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 567, 132, 557, 696 i.e 1.
3. How can I use the GCD of 567, 132, 557, 696Calculator?
Out the numbers 567, 132, 557, 696 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.