GCD of 83, 77, 31, 34 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 83, 77, 31, 34 quickly. Get the easiest ways to solve the greatest common divisor of 83, 77, 31, 34 i.e 1 in different methods as follows.
Given Input numbers are 83, 77, 31, 34
In the factoring method, we have to find the divisors of all numbers
Divisors of 83 :
The positive integer divisors of 83 that completely divides 83 are.
1, 83
Divisors of 77 :
The positive integer divisors of 77 that completely divides 77 are.
1, 7, 11, 77
Divisors of 31 :
The positive integer divisors of 31 that completely divides 31 are.
1, 31
Divisors of 34 :
The positive integer divisors of 34 that completely divides 34 are.
1, 2, 17, 34
GCD of numbers is the greatest common divisor
So, the GCD (83, 77, 31, 34) = 1.
Given numbers are 83, 77, 31, 34
The list of prime factors of all numbers are
Prime factors of 83 are 83
Prime factors of 77 are 7 x 11
Prime factors of 31 are 31
Prime factors of 34 are 2 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 83, 77, 31, 34 using LCM Formula
Given numbers are 83, 77, 31, 34
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(83, 77) = 6391
GCD(83, 77) = ( 83 x 77 ) / 6391
= 83 / 77
= 83
Step2:
LCM(1, 31) = 31
GCD(1, 31) = ( 1 x 31 ) / 31
= 1 / 31
= 1
Step3:
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
= 1 / 34
= 1
So, Greatest Common Divisor of 83, 77, 31, 34 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 83, 77, 31, 34
Given numbers are 83, 77, 31, 34
The greatest common divisor of numbers 83, 77, 31, 34 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 83, 77, 31, 34 is 1.
FAQs on GCD of 83, 77, 31, 34 Calculator
1. What is the GCD of 83, 77, 31, 34?
GCD of given numbers 83, 77, 31, 34 is 1
2. How to calculate the greatest common divisor of 83, 77, 31, 34?
We can find the highest common divisor of 83, 77, 31, 34 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 83, 77, 31, 34 i.e 1.
3. How can I use the GCD of 83, 77, 31, 34Calculator?
Out the numbers 83, 77, 31, 34 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.