GCD of 120, 878, 149, 289 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 120, 878, 149, 289 quickly. Get the easiest ways to solve the greatest common divisor of 120, 878, 149, 289 i.e 1 in different methods as follows.
Given Input numbers are 120, 878, 149, 289
In the factoring method, we have to find the divisors of all numbers
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
Divisors of 878 :
The positive integer divisors of 878 that completely divides 878 are.
1, 2, 439, 878
Divisors of 149 :
The positive integer divisors of 149 that completely divides 149 are.
1, 149
Divisors of 289 :
The positive integer divisors of 289 that completely divides 289 are.
1, 17, 289
GCD of numbers is the greatest common divisor
So, the GCD (120, 878, 149, 289) = 1.
Given numbers are 120, 878, 149, 289
The list of prime factors of all numbers are
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
Prime factors of 878 are 2 x 439
Prime factors of 149 are 149
Prime factors of 289 are 17 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 120, 878, 149, 289 using LCM Formula
Given numbers are 120, 878, 149, 289
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(120, 878) = 52680
GCD(120, 878) = ( 120 x 878 ) / 52680
= 120 / 878
= 120
Step2:
LCM(2, 149) = 298
GCD(2, 149) = ( 2 x 149 ) / 298
= 2 / 149
= 2
Step3:
LCM(1, 289) = 289
GCD(1, 289) = ( 1 x 289 ) / 289
= 1 / 289
= 1
So, Greatest Common Divisor of 120, 878, 149, 289 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 120, 878, 149, 289
Given numbers are 120, 878, 149, 289
The greatest common divisor of numbers 120, 878, 149, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 878, 149, 289 is 1.
FAQs on GCD of 120, 878, 149, 289 Calculator
1. What is the GCD of 120, 878, 149, 289?
GCD of given numbers 120, 878, 149, 289 is 1
2. How to calculate the greatest common divisor of 120, 878, 149, 289?
We can find the highest common divisor of 120, 878, 149, 289 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 120, 878, 149, 289 i.e 1.
3. How can I use the GCD of 120, 878, 149, 289Calculator?
Out the numbers 120, 878, 149, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.