GCD of 360, 148, 343 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 360, 148, 343 quickly. Get the easiest ways to solve the greatest common divisor of 360, 148, 343 i.e 1 in different methods as follows.
Given Input numbers are 360, 148, 343
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
GCD of numbers is the greatest common divisor
So, the GCD (360, 148, 343) = 1.
Given numbers are 360, 148, 343
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 148 are 2 x 2 x 37
Prime factors of 343 are 7 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 360, 148, 343 using LCM Formula
Given numbers are 360, 148, 343
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 148) = 13320
GCD(360, 148) = ( 360 x 148 ) / 13320
= 360 / 148
= 360
Step2:
LCM(4, 343) = 1372
GCD(4, 343) = ( 4 x 343 ) / 1372
= 4 / 343
= 4
So, Greatest Common Divisor of 360, 148, 343 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 360, 148, 343
Given numbers are 360, 148, 343
The greatest common divisor of numbers 360, 148, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 148, 343 is 1.
FAQs on GCD of 360, 148, 343 Calculator
1. What is the GCD of 360, 148, 343?
GCD of given numbers 360, 148, 343 is 1
2. How to calculate the greatest common divisor of 360, 148, 343?
We can find the highest common divisor of 360, 148, 343 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 360, 148, 343 i.e 1.
3. How can I use the GCD of 360, 148, 343Calculator?
Out the numbers 360, 148, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.