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 992, 957, 67, 548 i.e. 1 largest integer that divides all the numbers equally.
GCD of 992, 957, 67, 548 is 1
GCD(992, 957, 67, 548) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 992, 957, 67, 548 is 1
GCD(992, 957, 67, 548) = 1
Given Input numbers are 992, 957, 67, 548
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 992
List of positive integer divisors of 992 that divides 992 without a remainder.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 957
List of positive integer divisors of 957 that divides 957 without a remainder.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Divisors of 548
List of positive integer divisors of 548 that divides 548 without a remainder.
1, 2, 4, 137, 274, 548
Greatest Common Divisior
We found the divisors of 992, 957, 67, 548 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 992, 957, 67, 548 is 1.
Therefore, GCD of numbers 992, 957, 67, 548 is 1
Given Input Data is 992, 957, 67, 548
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31
Prime Factorization of 957 is 3 x 11 x 29
Prime Factorization of 67 is 67
Prime Factorization of 548 is 2 x 2 x 137
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(992, 957) = 949344
GCD(992, 957) = ( 992 x 957 ) / 949344
GCD(992, 957) = 949344 / 949344
GCD(992, 957) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 67) = 67
GCD(1, 67) = ( 1 x 67 ) / 67
GCD(1, 67) = 67 / 67
GCD(1, 67) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 548
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 548) = 548
GCD(1, 548) = ( 1 x 548 ) / 548
GCD(1, 548) = 548 / 548
GCD(1, 548) = 1
GCD of 992, 957, 67, 548 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 992, 957, 67, 548?
GCD of 992, 957, 67, 548 is 1
2. Where do I get the detailed procedure to find GCD of 992, 957, 67, 548?
You can find a detailed procedure to find GCD of 992, 957, 67, 548 on our page.
3. How to find GCD of 992, 957, 67, 548 on a calculator?
You can find the GCD of 992, 957, 67, 548 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.