GCD of 345, 207, 625 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 345, 207, 625 quickly. Get the easiest ways to solve the greatest common divisor of 345, 207, 625 i.e 1 in different methods as follows.
Given Input numbers are 345, 207, 625
In the factoring method, we have to find the divisors of all numbers
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 207 :
The positive integer divisors of 207 that completely divides 207 are.
1, 3, 9, 23, 69, 207
Divisors of 625 :
The positive integer divisors of 625 that completely divides 625 are.
1, 5, 25, 125, 625
GCD of numbers is the greatest common divisor
So, the GCD (345, 207, 625) = 1.
Given numbers are 345, 207, 625
The list of prime factors of all numbers are
Prime factors of 345 are 3 x 5 x 23
Prime factors of 207 are 3 x 3 x 23
Prime factors of 625 are 5 x 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 345, 207, 625 using LCM Formula
Given numbers are 345, 207, 625
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(345, 207) = 1035
GCD(345, 207) = ( 345 x 207 ) / 1035
= 345 / 207
= 345
Step2:
LCM(69, 625) = 43125
GCD(69, 625) = ( 69 x 625 ) / 43125
= 69 / 625
= 69
So, Greatest Common Divisor of 345, 207, 625 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 345, 207, 625
Given numbers are 345, 207, 625
The greatest common divisor of numbers 345, 207, 625 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 207, 625 is 1.
FAQs on GCD of 345, 207, 625 Calculator
1. What is the GCD of 345, 207, 625?
GCD of given numbers 345, 207, 625 is 1
2. How to calculate the greatest common divisor of 345, 207, 625?
We can find the highest common divisor of 345, 207, 625 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 345, 207, 625 i.e 1.
3. How can I use the GCD of 345, 207, 625Calculator?
Out the numbers 345, 207, 625 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.