GCD of 154, 138, 67, 135 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 154, 138, 67, 135 quickly. Get the easiest ways to solve the greatest common divisor of 154, 138, 67, 135 i.e 1 in different methods as follows.
Given Input numbers are 154, 138, 67, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 154 :
The positive integer divisors of 154 that completely divides 154 are.
1, 2, 7, 11, 14, 22, 77, 154
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
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (154, 138, 67, 135) = 1.
Given numbers are 154, 138, 67, 135
The list of prime factors of all numbers are
Prime factors of 154 are 2 x 7 x 11
Prime factors of 138 are 2 x 3 x 23
Prime factors of 67 are 67
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 154, 138, 67, 135 using LCM Formula
Given numbers are 154, 138, 67, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(154, 138) = 10626
GCD(154, 138) = ( 154 x 138 ) / 10626
= 154 / 138
= 154
Step2:
LCM(2, 67) = 134
GCD(2, 67) = ( 2 x 67 ) / 134
= 2 / 67
= 2
Step3:
LCM(1, 135) = 135
GCD(1, 135) = ( 1 x 135 ) / 135
= 1 / 135
= 1
So, Greatest Common Divisor of 154, 138, 67, 135 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 154, 138, 67, 135
Given numbers are 154, 138, 67, 135
The greatest common divisor of numbers 154, 138, 67, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 138, 67, 135 is 1.
FAQs on GCD of 154, 138, 67, 135 Calculator
1. What is the GCD of 154, 138, 67, 135?
GCD of given numbers 154, 138, 67, 135 is 1
2. How to calculate the greatest common divisor of 154, 138, 67, 135?
We can find the highest common divisor of 154, 138, 67, 135 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 154, 138, 67, 135 i.e 1.
3. How can I use the GCD of 154, 138, 67, 135Calculator?
Out the numbers 154, 138, 67, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.