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 546, 914, 21, 968 i.e. 1 largest integer that divides all the numbers equally.
GCD of 546, 914, 21, 968 is 1
GCD(546, 914, 21, 968) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 546, 914, 21, 968 is 1
GCD(546, 914, 21, 968) = 1
Given Input numbers are 546, 914, 21, 968
To find the GCD of numbers using factoring list out all the divisors of each number
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
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 21
List of positive integer divisors of 21 that divides 21 without a remainder.
1, 3, 7, 21
Divisors of 968
List of positive integer divisors of 968 that divides 968 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
Greatest Common Divisior
We found the divisors of 546, 914, 21, 968 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 914, 21, 968 is 1.
Therefore, GCD of numbers 546, 914, 21, 968 is 1
Given Input Data is 546, 914, 21, 968
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 546 is 2 x 3 x 7 x 13
Prime Factorization of 914 is 2 x 457
Prime Factorization of 21 is 3 x 7
Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
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(546, 914) = 249522
GCD(546, 914) = ( 546 x 914 ) / 249522
GCD(546, 914) = 499044 / 249522
GCD(546, 914) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 21
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 21) = 42
GCD(2, 21) = ( 2 x 21 ) / 42
GCD(2, 21) = 42 / 42
GCD(2, 21) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 968
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 968) = 968
GCD(1, 968) = ( 1 x 968 ) / 968
GCD(1, 968) = 968 / 968
GCD(1, 968) = 1
GCD of 546, 914, 21, 968 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 546, 914, 21, 968?
GCD of 546, 914, 21, 968 is 1
2. Where do I get the detailed procedure to find GCD of 546, 914, 21, 968?
You can find a detailed procedure to find GCD of 546, 914, 21, 968 on our page.
3. How to find GCD of 546, 914, 21, 968 on a calculator?
You can find the GCD of 546, 914, 21, 968 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.