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 547, 974, 27, 820 i.e. 1 largest integer that divides all the numbers equally.
GCD of 547, 974, 27, 820 is 1
GCD(547, 974, 27, 820) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 547, 974, 27, 820 is 1
GCD(547, 974, 27, 820) = 1
Given Input numbers are 547, 974, 27, 820
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 547
List of positive integer divisors of 547 that divides 547 without a remainder.
1, 547
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 27
List of positive integer divisors of 27 that divides 27 without a remainder.
1, 3, 9, 27
Divisors of 820
List of positive integer divisors of 820 that divides 820 without a remainder.
1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
Greatest Common Divisior
We found the divisors of 547, 974, 27, 820 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 974, 27, 820 is 1.
Therefore, GCD of numbers 547, 974, 27, 820 is 1
Given Input Data is 547, 974, 27, 820
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 547 is 547
Prime Factorization of 974 is 2 x 487
Prime Factorization of 27 is 3 x 3 x 3
Prime Factorization of 820 is 2 x 2 x 5 x 41
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(547, 974) = 532778
GCD(547, 974) = ( 547 x 974 ) / 532778
GCD(547, 974) = 532778 / 532778
GCD(547, 974) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 27
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 27) = 27
GCD(1, 27) = ( 1 x 27 ) / 27
GCD(1, 27) = 27 / 27
GCD(1, 27) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 820
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 820) = 820
GCD(1, 820) = ( 1 x 820 ) / 820
GCD(1, 820) = 820 / 820
GCD(1, 820) = 1
GCD of 547, 974, 27, 820 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 547, 974, 27, 820?
GCD of 547, 974, 27, 820 is 1
2. Where do I get the detailed procedure to find GCD of 547, 974, 27, 820?
You can find a detailed procedure to find GCD of 547, 974, 27, 820 on our page.
3. How to find GCD of 547, 974, 27, 820 on a calculator?
You can find the GCD of 547, 974, 27, 820 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.