Online GCD Calculator is useful to find the GCD of 756, 575, 133, 687 quickly. Get the easiest ways to solve the greatest common divisor of 756, 575, 133, 687 i.e 1 in different methods as follows.
Given Input numbers are 756, 575, 133, 687
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 575 :
The positive integer divisors of 575 that completely divides 575 are.
1, 5, 23, 25, 115, 575
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
GCD of numbers is the greatest common divisor
So, the GCD (756, 575, 133, 687) = 1.
Given numbers are 756, 575, 133, 687
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 575 are 5 x 5 x 23
Prime factors of 133 are 7 x 19
Prime factors of 687 are 3 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 756, 575, 133, 687
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 575) = 434700
GCD(756, 575) = ( 756 x 575 ) / 434700
= 756 / 575
= 756
Step2:
LCM(1, 133) = 133
GCD(1, 133) = ( 1 x 133 ) / 133
= 1 / 133
= 1
Step3:
LCM(1, 687) = 687
GCD(1, 687) = ( 1 x 687 ) / 687
= 1 / 687
= 1
So, Greatest Common Divisor of 756, 575, 133, 687 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 575, 133, 687
The greatest common divisor of numbers 756, 575, 133, 687 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 575, 133, 687 is 1.
1. What is the GCD of 756, 575, 133, 687?
GCD of given numbers 756, 575, 133, 687 is 1
2. How to calculate the greatest common divisor of 756, 575, 133, 687?
We can find the highest common divisor of 756, 575, 133, 687 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 756, 575, 133, 687 i.e 1.
3. How can I use the GCD of 756, 575, 133, 687Calculator?
Out the numbers 756, 575, 133, 687 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.