GCD of 975, 855, 275 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 975, 855, 275 quickly. Get the easiest ways to solve the greatest common divisor of 975, 855, 275 i.e 5 in different methods as follows.
Given Input numbers are 975, 855, 275
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 855 :
The positive integer divisors of 855 that completely divides 855 are.
1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
GCD of numbers is the greatest common divisor
So, the GCD (975, 855, 275) = 5.
Given numbers are 975, 855, 275
The list of prime factors of all numbers are
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 855 are 3 x 3 x 5 x 19
Prime factors of 275 are 5 x 5 x 11
The highest common occurrence is 51
Therefore, GCD of 975, 855, 275 is 5.
Steps to Calculate GCD of 975, 855, 275 using LCM Formula
Given numbers are 975, 855, 275
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(975, 855) = 55575
GCD(975, 855) = ( 975 x 855 ) / 55575
= 975 / 855
= 975
Step2:
LCM(15, 275) = 825
GCD(15, 275) = ( 15 x 275 ) / 825
= 15 / 275
= 15
So, Greatest Common Divisor of 975, 855, 275 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 975, 855, 275
Given numbers are 975, 855, 275
The greatest common divisor of numbers 975, 855, 275 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 855, 275 is 5.
FAQs on GCD of 975, 855, 275 Calculator
1. What is the GCD of 975, 855, 275?
GCD of given numbers 975, 855, 275 is 5
2. How to calculate the greatest common divisor of 975, 855, 275?
We can find the highest common divisor of 975, 855, 275 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 975, 855, 275 i.e 5.
3. How can I use the GCD of 975, 855, 275Calculator?
Out the numbers 975, 855, 275 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.