GCD of 138, 358, 302, 221 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 138, 358, 302, 221 quickly. Get the easiest ways to solve the greatest common divisor of 138, 358, 302, 221 i.e 1 in different methods as follows.
Given Input numbers are 138, 358, 302, 221
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 358 :
The positive integer divisors of 358 that completely divides 358 are.
1, 2, 179, 358
Divisors of 302 :
The positive integer divisors of 302 that completely divides 302 are.
1, 2, 151, 302
Divisors of 221 :
The positive integer divisors of 221 that completely divides 221 are.
1, 13, 17, 221
GCD of numbers is the greatest common divisor
So, the GCD (138, 358, 302, 221) = 1.
Given numbers are 138, 358, 302, 221
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 358 are 2 x 179
Prime factors of 302 are 2 x 151
Prime factors of 221 are 13 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 138, 358, 302, 221 using LCM Formula
Given numbers are 138, 358, 302, 221
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 358) = 24702
GCD(138, 358) = ( 138 x 358 ) / 24702
= 138 / 358
= 138
Step2:
LCM(2, 302) = 302
GCD(2, 302) = ( 2 x 302 ) / 302
= 2 / 302
= 2
Step3:
LCM(2, 221) = 442
GCD(2, 221) = ( 2 x 221 ) / 442
= 2 / 221
= 2
So, Greatest Common Divisor of 138, 358, 302, 221 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 138, 358, 302, 221
Given numbers are 138, 358, 302, 221
The greatest common divisor of numbers 138, 358, 302, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 358, 302, 221 is 1.
FAQs on GCD of 138, 358, 302, 221 Calculator
1. What is the GCD of 138, 358, 302, 221?
GCD of given numbers 138, 358, 302, 221 is 1
2. How to calculate the greatest common divisor of 138, 358, 302, 221?
We can find the highest common divisor of 138, 358, 302, 221 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 138, 358, 302, 221 i.e 1.
3. How can I use the GCD of 138, 358, 302, 221Calculator?
Out the numbers 138, 358, 302, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.