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 990, 274, 35, 528 i.e. 1 largest integer that divides all the numbers equally.
GCD of 990, 274, 35, 528 is 1
GCD(990, 274, 35, 528) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 990, 274, 35, 528 is 1
GCD(990, 274, 35, 528) = 1
Given Input numbers are 990, 274, 35, 528
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 990
List of positive integer divisors of 990 that divides 990 without a remainder.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
Divisors of 274
List of positive integer divisors of 274 that divides 274 without a remainder.
1, 2, 137, 274
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Greatest Common Divisior
We found the divisors of 990, 274, 35, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 990, 274, 35, 528 is 1.
Therefore, GCD of numbers 990, 274, 35, 528 is 1
Given Input Data is 990, 274, 35, 528
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 990 is 2 x 3 x 3 x 5 x 11
Prime Factorization of 274 is 2 x 137
Prime Factorization of 35 is 5 x 7
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 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(990, 274) = 135630
GCD(990, 274) = ( 990 x 274 ) / 135630
GCD(990, 274) = 271260 / 135630
GCD(990, 274) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 35
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 35) = 70
GCD(2, 35) = ( 2 x 35 ) / 70
GCD(2, 35) = 70 / 70
GCD(2, 35) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
GCD of 990, 274, 35, 528 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 990, 274, 35, 528?
GCD of 990, 274, 35, 528 is 1
2. Where do I get the detailed procedure to find GCD of 990, 274, 35, 528?
You can find a detailed procedure to find GCD of 990, 274, 35, 528 on our page.
3. How to find GCD of 990, 274, 35, 528 on a calculator?
You can find the GCD of 990, 274, 35, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.