GCD of 125, 975, 600 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 125, 975, 600 quickly. Get the easiest ways to solve the greatest common divisor of 125, 975, 600 i.e 25 in different methods as follows.
Given Input numbers are 125, 975, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 125 :
The positive integer divisors of 125 that completely divides 125 are.
1, 5, 25, 125
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 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (125, 975, 600) = 25.
Given numbers are 125, 975, 600
The list of prime factors of all numbers are
Prime factors of 125 are 5 x 5 x 5
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 52
Therefore, GCD of 125, 975, 600 is 25.
Steps to Calculate GCD of 125, 975, 600 using LCM Formula
Given numbers are 125, 975, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(125, 975) = 4875
GCD(125, 975) = ( 125 x 975 ) / 4875
= 125 / 975
= 125
Step2:
LCM(25, 600) = 600
GCD(25, 600) = ( 25 x 600 ) / 600
= 25 / 600
= 25
So, Greatest Common Divisor of 125, 975, 600 is 25
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 125, 975, 600
Given numbers are 125, 975, 600
The greatest common divisor of numbers 125, 975, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 125, 975, 600 is 25.
FAQs on GCD of 125, 975, 600 Calculator
1. What is the GCD of 125, 975, 600?
GCD of given numbers 125, 975, 600 is 25
2. How to calculate the greatest common divisor of 125, 975, 600?
We can find the highest common divisor of 125, 975, 600 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 125, 975, 600 i.e 25.
3. How can I use the GCD of 125, 975, 600Calculator?
Out the numbers 125, 975, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.