GCD of 960, 150, 470 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 960, 150, 470 quickly. Get the easiest ways to solve the greatest common divisor of 960, 150, 470 i.e 10 in different methods as follows.
Given Input numbers are 960, 150, 470
In the factoring method, we have to find the divisors of all numbers
Divisors of 960 :
The positive integer divisors of 960 that completely divides 960 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 470 :
The positive integer divisors of 470 that completely divides 470 are.
1, 2, 5, 10, 47, 94, 235, 470
GCD of numbers is the greatest common divisor
So, the GCD (960, 150, 470) = 10.
Given numbers are 960, 150, 470
The list of prime factors of all numbers are
Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 470 are 2 x 5 x 47
The highest common occurrence is 21 x 51
Therefore, GCD of 960, 150, 470 is 10.
Steps to Calculate GCD of 960, 150, 470 using LCM Formula
Given numbers are 960, 150, 470
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(960, 150) = 4800
GCD(960, 150) = ( 960 x 150 ) / 4800
= 960 / 150
= 960
Step2:
LCM(30, 470) = 1410
GCD(30, 470) = ( 30 x 470 ) / 1410
= 30 / 470
= 30
So, Greatest Common Divisor of 960, 150, 470 is 10
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 960, 150, 470
Given numbers are 960, 150, 470
The greatest common divisor of numbers 960, 150, 470 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 150, 470 is 10.
FAQs on GCD of 960, 150, 470 Calculator
1. What is the GCD of 960, 150, 470?
GCD of given numbers 960, 150, 470 is 10
2. How to calculate the greatest common divisor of 960, 150, 470?
We can find the highest common divisor of 960, 150, 470 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 960, 150, 470 i.e 10.
3. How can I use the GCD of 960, 150, 470Calculator?
Out the numbers 960, 150, 470 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.