GCD of 875, 975, 340 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 875, 975, 340 quickly. Get the easiest ways to solve the greatest common divisor of 875, 975, 340 i.e 5 in different methods as follows.
Given Input numbers are 875, 975, 340
In the factoring method, we have to find the divisors of all numbers
Divisors of 875 :
The positive integer divisors of 875 that completely divides 875 are.
1, 5, 7, 25, 35, 125, 175, 875
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 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
GCD of numbers is the greatest common divisor
So, the GCD (875, 975, 340) = 5.
Given numbers are 875, 975, 340
The list of prime factors of all numbers are
Prime factors of 875 are 5 x 5 x 5 x 7
Prime factors of 975 are 3 x 5 x 5 x 13
Prime factors of 340 are 2 x 2 x 5 x 17
The highest common occurrence is 51
Therefore, GCD of 875, 975, 340 is 5.
Steps to Calculate GCD of 875, 975, 340 using LCM Formula
Given numbers are 875, 975, 340
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(875, 975) = 34125
GCD(875, 975) = ( 875 x 975 ) / 34125
= 875 / 975
= 875
Step2:
LCM(25, 340) = 1700
GCD(25, 340) = ( 25 x 340 ) / 1700
= 25 / 340
= 25
So, Greatest Common Divisor of 875, 975, 340 is 5
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 875, 975, 340
Given numbers are 875, 975, 340
The greatest common divisor of numbers 875, 975, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 875, 975, 340 is 5.
FAQs on GCD of 875, 975, 340 Calculator
1. What is the GCD of 875, 975, 340?
GCD of given numbers 875, 975, 340 is 5
2. How to calculate the greatest common divisor of 875, 975, 340?
We can find the highest common divisor of 875, 975, 340 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 875, 975, 340 i.e 5.
3. How can I use the GCD of 875, 975, 340Calculator?
Out the numbers 875, 975, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.