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 976, 292, 99, 240 i.e. 1 largest integer that divides all the numbers equally.
GCD of 976, 292, 99, 240 is 1
GCD(976, 292, 99, 240) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 976, 292, 99, 240 is 1
GCD(976, 292, 99, 240) = 1
Given Input numbers are 976, 292, 99, 240
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 99
List of positive integer divisors of 99 that divides 99 without a remainder.
1, 3, 9, 11, 33, 99
Divisors of 240
List of positive integer divisors of 240 that divides 240 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Greatest Common Divisior
We found the divisors of 976, 292, 99, 240 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 976, 292, 99, 240 is 1.
Therefore, GCD of numbers 976, 292, 99, 240 is 1
Given Input Data is 976, 292, 99, 240
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 99 is 3 x 3 x 11
Prime Factorization of 240 is 2 x 2 x 2 x 2 x 3 x 5
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(976, 292) = 71248
GCD(976, 292) = ( 976 x 292 ) / 71248
GCD(976, 292) = 284992 / 71248
GCD(976, 292) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 99
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 99) = 396
GCD(4, 99) = ( 4 x 99 ) / 396
GCD(4, 99) = 396 / 396
GCD(4, 99) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 240
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
GCD(1, 240) = 240 / 240
GCD(1, 240) = 1
GCD of 976, 292, 99, 240 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 976, 292, 99, 240?
GCD of 976, 292, 99, 240 is 1
2. Where do I get the detailed procedure to find GCD of 976, 292, 99, 240?
You can find a detailed procedure to find GCD of 976, 292, 99, 240 on our page.
3. How to find GCD of 976, 292, 99, 240 on a calculator?
You can find the GCD of 976, 292, 99, 240 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.