GCD of 564, 138, 67 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 564, 138, 67 quickly. Get the easiest ways to solve the greatest common divisor of 564, 138, 67 i.e 1 in different methods as follows.
Given Input numbers are 564, 138, 67
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 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 67 :
The positive integer divisors of 67 that completely divides 67 are.
1, 67
GCD of numbers is the greatest common divisor
So, the GCD (564, 138, 67) = 1.
Given numbers are 564, 138, 67
The list of prime factors of all numbers are
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 138 are 2 x 3 x 23
Prime factors of 67 are 67
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 564, 138, 67 using LCM Formula
Given numbers are 564, 138, 67
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(564, 138) = 12972
GCD(564, 138) = ( 564 x 138 ) / 12972
= 564 / 138
= 564
Step2:
LCM(6, 67) = 402
GCD(6, 67) = ( 6 x 67 ) / 402
= 6 / 67
= 6
So, Greatest Common Divisor of 564, 138, 67 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 564, 138, 67
Given numbers are 564, 138, 67
The greatest common divisor of numbers 564, 138, 67 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 138, 67 is 1.
FAQs on GCD of 564, 138, 67 Calculator
1. What is the GCD of 564, 138, 67?
GCD of given numbers 564, 138, 67 is 1
2. How to calculate the greatest common divisor of 564, 138, 67?
We can find the highest common divisor of 564, 138, 67 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, 138, 67 i.e 1.
3. How can I use the GCD of 564, 138, 67Calculator?
Out the numbers 564, 138, 67 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.