GCD of 222, 147, 71 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 222, 147, 71 quickly. Get the easiest ways to solve the greatest common divisor of 222, 147, 71 i.e 1 in different methods as follows.
Given Input numbers are 222, 147, 71
In the factoring method, we have to find the divisors of all numbers
Divisors of 222 :
The positive integer divisors of 222 that completely divides 222 are.
1, 2, 3, 6, 37, 74, 111, 222
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 71 :
The positive integer divisors of 71 that completely divides 71 are.
1, 71
GCD of numbers is the greatest common divisor
So, the GCD (222, 147, 71) = 1.
Given numbers are 222, 147, 71
The list of prime factors of all numbers are
Prime factors of 222 are 2 x 3 x 37
Prime factors of 147 are 3 x 7 x 7
Prime factors of 71 are 71
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 222, 147, 71 using LCM Formula
Given numbers are 222, 147, 71
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(222, 147) = 10878
GCD(222, 147) = ( 222 x 147 ) / 10878
= 222 / 147
= 222
Step2:
LCM(3, 71) = 213
GCD(3, 71) = ( 3 x 71 ) / 213
= 3 / 71
= 3
So, Greatest Common Divisor of 222, 147, 71 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 222, 147, 71
Given numbers are 222, 147, 71
The greatest common divisor of numbers 222, 147, 71 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 222, 147, 71 is 1.
FAQs on GCD of 222, 147, 71 Calculator
1. What is the GCD of 222, 147, 71?
GCD of given numbers 222, 147, 71 is 1
2. How to calculate the greatest common divisor of 222, 147, 71?
We can find the highest common divisor of 222, 147, 71 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 222, 147, 71 i.e 1.
3. How can I use the GCD of 222, 147, 71Calculator?
Out the numbers 222, 147, 71 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.