GCD of 969, 343, 860 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 969, 343, 860 quickly. Get the easiest ways to solve the greatest common divisor of 969, 343, 860 i.e 1 in different methods as follows.
Given Input numbers are 969, 343, 860
In the factoring method, we have to find the divisors of all numbers
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 860 :
The positive integer divisors of 860 that completely divides 860 are.
1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
GCD of numbers is the greatest common divisor
So, the GCD (969, 343, 860) = 1.
Given numbers are 969, 343, 860
The list of prime factors of all numbers are
Prime factors of 969 are 3 x 17 x 19
Prime factors of 343 are 7 x 7 x 7
Prime factors of 860 are 2 x 2 x 5 x 43
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 969, 343, 860 using LCM Formula
Given numbers are 969, 343, 860
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(969, 343) = 332367
GCD(969, 343) = ( 969 x 343 ) / 332367
= 969 / 343
= 969
Step2:
LCM(1, 860) = 860
GCD(1, 860) = ( 1 x 860 ) / 860
= 1 / 860
= 1
So, Greatest Common Divisor of 969, 343, 860 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 969, 343, 860
Given numbers are 969, 343, 860
The greatest common divisor of numbers 969, 343, 860 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 343, 860 is 1.
FAQs on GCD of 969, 343, 860 Calculator
1. What is the GCD of 969, 343, 860?
GCD of given numbers 969, 343, 860 is 1
2. How to calculate the greatest common divisor of 969, 343, 860?
We can find the highest common divisor of 969, 343, 860 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 969, 343, 860 i.e 1.
3. How can I use the GCD of 969, 343, 860Calculator?
Out the numbers 969, 343, 860 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.