GCD of 369, 272, 34, 116 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 369, 272, 34, 116 quickly. Get the easiest ways to solve the greatest common divisor of 369, 272, 34, 116 i.e 1 in different methods as follows.
Given Input numbers are 369, 272, 34, 116
In the factoring method, we have to find the divisors of all numbers
Divisors of 369 :
The positive integer divisors of 369 that completely divides 369 are.
1, 3, 9, 41, 123, 369
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
Divisors of 34 :
The positive integer divisors of 34 that completely divides 34 are.
1, 2, 17, 34
Divisors of 116 :
The positive integer divisors of 116 that completely divides 116 are.
1, 2, 4, 29, 58, 116
GCD of numbers is the greatest common divisor
So, the GCD (369, 272, 34, 116) = 1.
Given numbers are 369, 272, 34, 116
The list of prime factors of all numbers are
Prime factors of 369 are 3 x 3 x 41
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
Prime factors of 34 are 2 x 17
Prime factors of 116 are 2 x 2 x 29
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 369, 272, 34, 116 using LCM Formula
Given numbers are 369, 272, 34, 116
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(369, 272) = 100368
GCD(369, 272) = ( 369 x 272 ) / 100368
= 369 / 272
= 369
Step2:
LCM(1, 34) = 34
GCD(1, 34) = ( 1 x 34 ) / 34
= 1 / 34
= 1
Step3:
LCM(1, 116) = 116
GCD(1, 116) = ( 1 x 116 ) / 116
= 1 / 116
= 1
So, Greatest Common Divisor of 369, 272, 34, 116 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 369, 272, 34, 116
Given numbers are 369, 272, 34, 116
The greatest common divisor of numbers 369, 272, 34, 116 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 272, 34, 116 is 1.
FAQs on GCD of 369, 272, 34, 116 Calculator
1. What is the GCD of 369, 272, 34, 116?
GCD of given numbers 369, 272, 34, 116 is 1
2. How to calculate the greatest common divisor of 369, 272, 34, 116?
We can find the highest common divisor of 369, 272, 34, 116 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 369, 272, 34, 116 i.e 1.
3. How can I use the GCD of 369, 272, 34, 116Calculator?
Out the numbers 369, 272, 34, 116 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.