GCD of 564, 293, 67, 138 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 564, 293, 67, 138 quickly. Get the easiest ways to solve the greatest common divisor of 564, 293, 67, 138 i.e 1 in different methods as follows.
Given Input numbers are 564, 293, 67, 138
In the factoring method, we have to find the divisors of all numbers
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 293 :
The positive integer divisors of 293 that completely divides 293 are.
1, 293
Divisors of 67 :
The positive integer divisors of 67 that completely divides 67 are.
1, 67
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (564, 293, 67, 138) = 1.
Given numbers are 564, 293, 67, 138
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 293 are 293
Prime factors of 67 are 67
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 564, 293, 67, 138 using LCM Formula
Given numbers are 564, 293, 67, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 293) = 165252
GCD(564, 293) = ( 564 x 293 ) / 165252
= 564 / 293
= 564
Step2:
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
= 1 / 67
= 1
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 564, 293, 67, 138 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 564, 293, 67, 138
Given numbers are 564, 293, 67, 138
The greatest common divisor of numbers 564, 293, 67, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 293, 67, 138 is 1.
FAQs on GCD of 564, 293, 67, 138 Calculator
1. What is the GCD of 564, 293, 67, 138?
GCD of given numbers 564, 293, 67, 138 is 1
2. How to calculate the greatest common divisor of 564, 293, 67, 138?
We can find the highest common divisor of 564, 293, 67, 138 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 564, 293, 67, 138 i.e 1.
3. How can I use the GCD of 564, 293, 67, 138Calculator?
Out the numbers 564, 293, 67, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.