Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 960, 540, 75, 156 i.e. 3 largest integer that divides all the numbers equally.
GCD of 960, 540, 75, 156 is 3
GCD(960, 540, 75, 156) = 3
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 540, 75, 156 is 3
GCD(960, 540, 75, 156) = 3
Given Input numbers are 960, 540, 75, 156
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 960
List of positive integer divisors of 960 that divides 960 without a remainder.
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 540
List of positive integer divisors of 540 that divides 540 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 156
List of positive integer divisors of 156 that divides 156 without a remainder.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Greatest Common Divisior
We found the divisors of 960, 540, 75, 156 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 540, 75, 156 is 3.
Therefore, GCD of numbers 960, 540, 75, 156 is 3
Given Input Data is 960, 540, 75, 156
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5
Prime Factorization of 540 is 2 x 2 x 3 x 3 x 3 x 5
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 156 is 2 x 2 x 3 x 13
Highest common occurrences in the given inputs are 31
Multiplying them we get the GCD as 3
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(960, 540) = 8640
GCD(960, 540) = ( 960 x 540 ) / 8640
GCD(960, 540) = 518400 / 8640
GCD(960, 540) = 60
Step2:
Here we consider the GCD from the above i.e. 60 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(60, 75) = 300
GCD(60, 75) = ( 60 x 75 ) / 300
GCD(60, 75) = 4500 / 300
GCD(60, 75) = 15
Step3:
Here we consider the GCD from the above i.e. 15 as first number and the next as 156
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 156) = 780
GCD(15, 156) = ( 15 x 156 ) / 780
GCD(15, 156) = 2340 / 780
GCD(15, 156) = 3
GCD of 960, 540, 75, 156 is 3
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 540, 75, 156?
GCD of 960, 540, 75, 156 is 3
2. Where do I get the detailed procedure to find GCD of 960, 540, 75, 156?
You can find a detailed procedure to find GCD of 960, 540, 75, 156 on our page.
3. How to find GCD of 960, 540, 75, 156 on a calculator?
You can find the GCD of 960, 540, 75, 156 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.