Online GCD Calculator is useful to find the GCD of 275, 540, 975 quickly. Get the easiest ways to solve the greatest common divisor of 275, 540, 975 i.e 5 in different methods as follows.
Given Input numbers are 275, 540, 975
In the factoring method, we have to find the divisors of all numbers
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 540 :
The positive integer divisors of 540 that completely divides 540 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
GCD of numbers is the greatest common divisor
So, the GCD (275, 540, 975) = 5.
Given numbers are 275, 540, 975
The list of prime factors of all numbers are
Prime factors of 275 are 5 x 5 x 11
Prime factors of 540 are 2 x 2 x 3 x 3 x 3 x 5
Prime factors of 975 are 3 x 5 x 5 x 13
The highest common occurrence is 51
Therefore, GCD of 275, 540, 975 is 5.
Given numbers are 275, 540, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(275, 540) = 29700
GCD(275, 540) = ( 275 x 540 ) / 29700
= 275 / 540
= 275
Step2:
LCM(5, 975) = 975
GCD(5, 975) = ( 5 x 975 ) / 975
= 5 / 975
= 5
So, Greatest Common Divisor of 275, 540, 975 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 275, 540, 975
The greatest common divisor of numbers 275, 540, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 275, 540, 975 is 5.
1. What is the GCD of 275, 540, 975?
GCD of given numbers 275, 540, 975 is 5
2. How to calculate the greatest common divisor of 275, 540, 975?
We can find the highest common divisor of 275, 540, 975 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 275, 540, 975 i.e 5.
3. How can I use the GCD of 275, 540, 975Calculator?
Out the numbers 275, 540, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.