GCD of 705, 276, 842 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 705, 276, 842 quickly. Get the easiest ways to solve the greatest common divisor of 705, 276, 842 i.e 1 in different methods as follows.
Given Input numbers are 705, 276, 842
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
GCD of numbers is the greatest common divisor
So, the GCD (705, 276, 842) = 1.
Given numbers are 705, 276, 842
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 842 are 2 x 421
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 705, 276, 842 using LCM Formula
Given numbers are 705, 276, 842
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 276) = 64860
GCD(705, 276) = ( 705 x 276 ) / 64860
= 705 / 276
= 705
Step2:
LCM(3, 842) = 2526
GCD(3, 842) = ( 3 x 842 ) / 2526
= 3 / 842
= 3
So, Greatest Common Divisor of 705, 276, 842 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 705, 276, 842
Given numbers are 705, 276, 842
The greatest common divisor of numbers 705, 276, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 276, 842 is 1.
FAQs on GCD of 705, 276, 842 Calculator
1. What is the GCD of 705, 276, 842?
GCD of given numbers 705, 276, 842 is 1
2. How to calculate the greatest common divisor of 705, 276, 842?
We can find the highest common divisor of 705, 276, 842 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 705, 276, 842 i.e 1.
3. How can I use the GCD of 705, 276, 842Calculator?
Out the numbers 705, 276, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.