GCD of 147, 714, 381 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 147, 714, 381 quickly. Get the easiest ways to solve the greatest common divisor of 147, 714, 381 i.e 3 in different methods as follows.
Given Input numbers are 147, 714, 381
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 381 :
The positive integer divisors of 381 that completely divides 381 are.
1, 3, 127, 381
GCD of numbers is the greatest common divisor
So, the GCD (147, 714, 381) = 3.
Given numbers are 147, 714, 381
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 381 are 3 x 127
The highest common occurrence is 31
Therefore, GCD of 147, 714, 381 is 3.
Steps to Calculate GCD of 147, 714, 381 using LCM Formula
Given numbers are 147, 714, 381
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 714) = 4998
GCD(147, 714) = ( 147 x 714 ) / 4998
= 147 / 714
= 147
Step2:
LCM(21, 381) = 2667
GCD(21, 381) = ( 21 x 381 ) / 2667
= 21 / 381
= 21
So, Greatest Common Divisor of 147, 714, 381 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 147, 714, 381
Given numbers are 147, 714, 381
The greatest common divisor of numbers 147, 714, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 714, 381 is 3.
FAQs on GCD of 147, 714, 381 Calculator
1. What is the GCD of 147, 714, 381?
GCD of given numbers 147, 714, 381 is 3
2. How to calculate the greatest common divisor of 147, 714, 381?
We can find the highest common divisor of 147, 714, 381 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 147, 714, 381 i.e 3.
3. How can I use the GCD of 147, 714, 381Calculator?
Out the numbers 147, 714, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.