GCD of 340, 705, 875 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 340, 705, 875 quickly. Get the easiest ways to solve the greatest common divisor of 340, 705, 875 i.e 5 in different methods as follows.
Given Input numbers are 340, 705, 875
In the factoring method, we have to find the divisors of all numbers
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 875 :
The positive integer divisors of 875 that completely divides 875 are.
1, 5, 7, 25, 35, 125, 175, 875
GCD of numbers is the greatest common divisor
So, the GCD (340, 705, 875) = 5.
Given numbers are 340, 705, 875
The list of prime factors of all numbers are
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 705 are 3 x 5 x 47
Prime factors of 875 are 5 x 5 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 340, 705, 875 is 5.
Steps to Calculate GCD of 340, 705, 875 using LCM Formula
Given numbers are 340, 705, 875
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(340, 705) = 47940
GCD(340, 705) = ( 340 x 705 ) / 47940
= 340 / 705
= 340
Step2:
LCM(5, 875) = 875
GCD(5, 875) = ( 5 x 875 ) / 875
= 5 / 875
= 5
So, Greatest Common Divisor of 340, 705, 875 is 5
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 340, 705, 875
Given numbers are 340, 705, 875
The greatest common divisor of numbers 340, 705, 875 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 705, 875 is 5.
FAQs on GCD of 340, 705, 875 Calculator
1. What is the GCD of 340, 705, 875?
GCD of given numbers 340, 705, 875 is 5
2. How to calculate the greatest common divisor of 340, 705, 875?
We can find the highest common divisor of 340, 705, 875 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 340, 705, 875 i.e 5.
3. How can I use the GCD of 340, 705, 875Calculator?
Out the numbers 340, 705, 875 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.