GCD of 750, 675, 455 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 750, 675, 455 quickly. Get the easiest ways to solve the greatest common divisor of 750, 675, 455 i.e 5 in different methods as follows.
Given Input numbers are 750, 675, 455
In the factoring method, we have to find the divisors of all numbers
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 455 :
The positive integer divisors of 455 that completely divides 455 are.
1, 5, 7, 13, 35, 65, 91, 455
GCD of numbers is the greatest common divisor
So, the GCD (750, 675, 455) = 5.
Given numbers are 750, 675, 455
The list of prime factors of all numbers are
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 455 are 5 x 7 x 13
The highest common occurrence is 51
Therefore, GCD of 750, 675, 455 is 5.
Steps to Calculate GCD of 750, 675, 455 using LCM Formula
Given numbers are 750, 675, 455
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 675) = 6750
GCD(750, 675) = ( 750 x 675 ) / 6750
= 750 / 675
= 750
Step2:
LCM(75, 455) = 6825
GCD(75, 455) = ( 75 x 455 ) / 6825
= 75 / 455
= 75
So, Greatest Common Divisor of 750, 675, 455 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 750, 675, 455
Given numbers are 750, 675, 455
The greatest common divisor of numbers 750, 675, 455 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 675, 455 is 5.
FAQs on GCD of 750, 675, 455 Calculator
1. What is the GCD of 750, 675, 455?
GCD of given numbers 750, 675, 455 is 5
2. How to calculate the greatest common divisor of 750, 675, 455?
We can find the highest common divisor of 750, 675, 455 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 750, 675, 455 i.e 5.
3. How can I use the GCD of 750, 675, 455Calculator?
Out the numbers 750, 675, 455 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.