GCD of 134, 238, 72, 289 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 134, 238, 72, 289 quickly. Get the easiest ways to solve the greatest common divisor of 134, 238, 72, 289 i.e 1 in different methods as follows.
Given Input numbers are 134, 238, 72, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 134 :
The positive integer divisors of 134 that completely divides 134 are.
1, 2, 67, 134
Divisors of 238 :
The positive integer divisors of 238 that completely divides 238 are.
1, 2, 7, 14, 17, 34, 119, 238
Divisors of 72 :
The positive integer divisors of 72 that completely divides 72 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (134, 238, 72, 289) = 1.
Given numbers are 134, 238, 72, 289
The list of prime factors of all numbers are
Prime factors of 134 are 2 x 67
Prime factors of 238 are 2 x 7 x 17
Prime factors of 72 are 2 x 2 x 2 x 3 x 3
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 134, 238, 72, 289 using LCM Formula
Given numbers are 134, 238, 72, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(134, 238) = 15946
GCD(134, 238) = ( 134 x 238 ) / 15946
= 134 / 238
= 134
Step2:
LCM(2, 72) = 72
GCD(2, 72) = ( 2 x 72 ) / 72
= 2 / 72
= 2
Step3:
LCM(2, 289) = 578
GCD(2, 289) = ( 2 x 289 ) / 578
= 2 / 289
= 2
So, Greatest Common Divisor of 134, 238, 72, 289 is 1
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 134, 238, 72, 289
Given numbers are 134, 238, 72, 289
The greatest common divisor of numbers 134, 238, 72, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 134, 238, 72, 289 is 1.
FAQs on GCD of 134, 238, 72, 289 Calculator
1. What is the GCD of 134, 238, 72, 289?
GCD of given numbers 134, 238, 72, 289 is 1
2. How to calculate the greatest common divisor of 134, 238, 72, 289?
We can find the highest common divisor of 134, 238, 72, 289 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 134, 238, 72, 289 i.e 1.
3. How can I use the GCD of 134, 238, 72, 289Calculator?
Out the numbers 134, 238, 72, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.