Online GCD Calculator is useful to find the GCD of 567, 140, 506, 132 quickly. Get the easiest ways to solve the greatest common divisor of 567, 140, 506, 132 i.e 1 in different methods as follows.
Given Input numbers are 567, 140, 506, 132
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 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 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
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 (567, 140, 506, 132) = 1.
Given numbers are 567, 140, 506, 132
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 140 are 2 x 2 x 5 x 7
Prime factors of 506 are 2 x 11 x 23
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 567, 140, 506, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(567, 140) = 11340
GCD(567, 140) = ( 567 x 140 ) / 11340
= 567 / 140
= 567
Step2:
LCM(7, 506) = 3542
GCD(7, 506) = ( 7 x 506 ) / 3542
= 7 / 506
= 7
Step3:
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
= 1 / 132
= 1
So, Greatest Common Divisor of 567, 140, 506, 132 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 567, 140, 506, 132
The greatest common divisor of numbers 567, 140, 506, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 567, 140, 506, 132 is 1.
1. What is the GCD of 567, 140, 506, 132?
GCD of given numbers 567, 140, 506, 132 is 1
2. How to calculate the greatest common divisor of 567, 140, 506, 132?
We can find the highest common divisor of 567, 140, 506, 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 567, 140, 506, 132 i.e 1.
3. How can I use the GCD of 567, 140, 506, 132Calculator?
Out the numbers 567, 140, 506, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.