GCD of 154, 189, 217, 284 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 154, 189, 217, 284 quickly. Get the easiest ways to solve the greatest common divisor of 154, 189, 217, 284 i.e 1 in different methods as follows.
Given Input numbers are 154, 189, 217, 284
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 189 :
The positive integer divisors of 189 that completely divides 189 are.
1, 3, 7, 9, 21, 27, 63, 189
Divisors of 217 :
The positive integer divisors of 217 that completely divides 217 are.
1, 7, 31, 217
Divisors of 284 :
The positive integer divisors of 284 that completely divides 284 are.
1, 2, 4, 71, 142, 284
GCD of numbers is the greatest common divisor
So, the GCD (154, 189, 217, 284) = 1.
Given numbers are 154, 189, 217, 284
The list of prime factors of all numbers are
Prime factors of 154 are 2 x 7 x 11
Prime factors of 189 are 3 x 3 x 3 x 7
Prime factors of 217 are 7 x 31
Prime factors of 284 are 2 x 2 x 71
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 154, 189, 217, 284 using LCM Formula
Given numbers are 154, 189, 217, 284
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(154, 189) = 4158
GCD(154, 189) = ( 154 x 189 ) / 4158
= 154 / 189
= 154
Step2:
LCM(7, 217) = 217
GCD(7, 217) = ( 7 x 217 ) / 217
= 7 / 217
= 7
Step3:
LCM(7, 284) = 1988
GCD(7, 284) = ( 7 x 284 ) / 1988
= 7 / 284
= 7
So, Greatest Common Divisor of 154, 189, 217, 284 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 154, 189, 217, 284
Given numbers are 154, 189, 217, 284
The greatest common divisor of numbers 154, 189, 217, 284 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 154, 189, 217, 284 is 1.
FAQs on GCD of 154, 189, 217, 284 Calculator
1. What is the GCD of 154, 189, 217, 284?
GCD of given numbers 154, 189, 217, 284 is 1
2. How to calculate the greatest common divisor of 154, 189, 217, 284?
We can find the highest common divisor of 154, 189, 217, 284 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, 189, 217, 284 i.e 1.
3. How can I use the GCD of 154, 189, 217, 284Calculator?
Out the numbers 154, 189, 217, 284 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.