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 974, 776, 48, 216 i.e. 2 largest integer that divides all the numbers equally.
GCD of 974, 776, 48, 216 is 2
GCD(974, 776, 48, 216) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 974, 776, 48, 216 is 2
GCD(974, 776, 48, 216) = 2
Given Input numbers are 974, 776, 48, 216
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 216
List of positive integer divisors of 216 that divides 216 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Greatest Common Divisior
We found the divisors of 974, 776, 48, 216 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 974, 776, 48, 216 is 2.
Therefore, GCD of numbers 974, 776, 48, 216 is 2
Given Input Data is 974, 776, 48, 216
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 974 is 2 x 487
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3
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(974, 776) = 377912
GCD(974, 776) = ( 974 x 776 ) / 377912
GCD(974, 776) = 755824 / 377912
GCD(974, 776) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 216
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 216) = 216
GCD(2, 216) = ( 2 x 216 ) / 216
GCD(2, 216) = 432 / 216
GCD(2, 216) = 2
GCD of 974, 776, 48, 216 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 974, 776, 48, 216?
GCD of 974, 776, 48, 216 is 2
2. Where do I get the detailed procedure to find GCD of 974, 776, 48, 216?
You can find a detailed procedure to find GCD of 974, 776, 48, 216 on our page.
3. How to find GCD of 974, 776, 48, 216 on a calculator?
You can find the GCD of 974, 776, 48, 216 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.