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, 158, 214, 546 i.e. 2 largest integer that divides all the numbers equally.
GCD of 960, 158, 214, 546 is 2
GCD(960, 158, 214, 546) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 960, 158, 214, 546 is 2
GCD(960, 158, 214, 546) = 2
Given Input numbers are 960, 158, 214, 546
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 158
List of positive integer divisors of 158 that divides 158 without a remainder.
1, 2, 79, 158
Divisors of 214
List of positive integer divisors of 214 that divides 214 without a remainder.
1, 2, 107, 214
Divisors of 546
List of positive integer divisors of 546 that divides 546 without a remainder.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Greatest Common Divisior
We found the divisors of 960, 158, 214, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 158, 214, 546 is 2.
Therefore, GCD of numbers 960, 158, 214, 546 is 2
Given Input Data is 960, 158, 214, 546
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 158 is 2 x 79
Prime Factorization of 214 is 2 x 107
Prime Factorization of 546 is 2 x 3 x 7 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 158) = 75840
GCD(960, 158) = ( 960 x 158 ) / 75840
GCD(960, 158) = 151680 / 75840
GCD(960, 158) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 214
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 214) = 214
GCD(2, 214) = ( 2 x 214 ) / 214
GCD(2, 214) = 428 / 214
GCD(2, 214) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 546
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 546) = 546
GCD(2, 546) = ( 2 x 546 ) / 546
GCD(2, 546) = 1092 / 546
GCD(2, 546) = 2
GCD of 960, 158, 214, 546 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 960, 158, 214, 546?
GCD of 960, 158, 214, 546 is 2
2. Where do I get the detailed procedure to find GCD of 960, 158, 214, 546?
You can find a detailed procedure to find GCD of 960, 158, 214, 546 on our page.
3. How to find GCD of 960, 158, 214, 546 on a calculator?
You can find the GCD of 960, 158, 214, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.