GCD of 149, 143, 359, 300 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 149, 143, 359, 300 quickly. Get the easiest ways to solve the greatest common divisor of 149, 143, 359, 300 i.e 1 in different methods as follows.
Given Input numbers are 149, 143, 359, 300
In the factoring method, we have to find the divisors of all numbers
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 143 :
The positive integer divisors of 143 that completely divides 143 are.
1, 11, 13, 143
Divisors of 359 :
The positive integer divisors of 359 that completely divides 359 are.
1, 359
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (149, 143, 359, 300) = 1.
Given numbers are 149, 143, 359, 300
The list of prime factors of all numbers are
Prime factors of 149 are 149
Prime factors of 143 are 11 x 13
Prime factors of 359 are 359
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 149, 143, 359, 300 using LCM Formula
Given numbers are 149, 143, 359, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(149, 143) = 21307
GCD(149, 143) = ( 149 x 143 ) / 21307
= 149 / 143
= 149
Step2:
LCM(1, 359) = 359
GCD(1, 359) = ( 1 x 359 ) / 359
= 1 / 359
= 1
Step3:
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
= 1 / 300
= 1
So, Greatest Common Divisor of 149, 143, 359, 300 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 149, 143, 359, 300
Given numbers are 149, 143, 359, 300
The greatest common divisor of numbers 149, 143, 359, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 149, 143, 359, 300 is 1.
FAQs on GCD of 149, 143, 359, 300 Calculator
1. What is the GCD of 149, 143, 359, 300?
GCD of given numbers 149, 143, 359, 300 is 1
2. How to calculate the greatest common divisor of 149, 143, 359, 300?
We can find the highest common divisor of 149, 143, 359, 300 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 149, 143, 359, 300 i.e 1.
3. How can I use the GCD of 149, 143, 359, 300Calculator?
Out the numbers 149, 143, 359, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.