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 43, 147, 506, 552 i.e. 1 largest integer that divides all the numbers equally.
GCD of 43, 147, 506, 552 is 1
GCD(43, 147, 506, 552) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 43, 147, 506, 552 is 1
GCD(43, 147, 506, 552) = 1
Given Input numbers are 43, 147, 506, 552
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 43
List of positive integer divisors of 43 that divides 43 without a remainder.
1, 43
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 506
List of positive integer divisors of 506 that divides 506 without a remainder.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Greatest Common Divisior
We found the divisors of 43, 147, 506, 552 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 43, 147, 506, 552 is 1.
Therefore, GCD of numbers 43, 147, 506, 552 is 1
Given Input Data is 43, 147, 506, 552
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 43 is 43
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 506 is 2 x 11 x 23
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
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(43, 147) = 6321
GCD(43, 147) = ( 43 x 147 ) / 6321
GCD(43, 147) = 6321 / 6321
GCD(43, 147) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 506
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 506) = 506
GCD(1, 506) = ( 1 x 506 ) / 506
GCD(1, 506) = 506 / 506
GCD(1, 506) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 552
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 552) = 552
GCD(1, 552) = ( 1 x 552 ) / 552
GCD(1, 552) = 552 / 552
GCD(1, 552) = 1
GCD of 43, 147, 506, 552 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 43, 147, 506, 552?
GCD of 43, 147, 506, 552 is 1
2. Where do I get the detailed procedure to find GCD of 43, 147, 506, 552?
You can find a detailed procedure to find GCD of 43, 147, 506, 552 on our page.
3. How to find GCD of 43, 147, 506, 552 on a calculator?
You can find the GCD of 43, 147, 506, 552 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.