Online GCD Calculator is useful to find the GCD of 270, 465, 533, 692 quickly. Get the easiest ways to solve the greatest common divisor of 270, 465, 533, 692 i.e 1 in different methods as follows.
Given Input numbers are 270, 465, 533, 692
In the factoring method, we have to find the divisors of all numbers
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 465 :
The positive integer divisors of 465 that completely divides 465 are.
1, 3, 5, 15, 31, 93, 155, 465
Divisors of 533 :
The positive integer divisors of 533 that completely divides 533 are.
1, 13, 41, 533
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
GCD of numbers is the greatest common divisor
So, the GCD (270, 465, 533, 692) = 1.
Given numbers are 270, 465, 533, 692
The list of prime factors of all numbers are
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 465 are 3 x 5 x 31
Prime factors of 533 are 13 x 41
Prime factors of 692 are 2 x 2 x 173
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 270, 465, 533, 692
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(270, 465) = 8370
GCD(270, 465) = ( 270 x 465 ) / 8370
= 270 / 465
= 270
Step2:
LCM(15, 533) = 7995
GCD(15, 533) = ( 15 x 533 ) / 7995
= 15 / 533
= 15
Step3:
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
= 1 / 692
= 1
So, Greatest Common Divisor of 270, 465, 533, 692 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 270, 465, 533, 692
The greatest common divisor of numbers 270, 465, 533, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 465, 533, 692 is 1.
1. What is the GCD of 270, 465, 533, 692?
GCD of given numbers 270, 465, 533, 692 is 1
2. How to calculate the greatest common divisor of 270, 465, 533, 692?
We can find the highest common divisor of 270, 465, 533, 692 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 270, 465, 533, 692 i.e 1.
3. How can I use the GCD of 270, 465, 533, 692Calculator?
Out the numbers 270, 465, 533, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.