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 543, 977, 48, 647 i.e. 1 largest integer that divides all the numbers equally.
GCD of 543, 977, 48, 647 is 1
GCD(543, 977, 48, 647) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 543, 977, 48, 647 is 1
GCD(543, 977, 48, 647) = 1
Given Input numbers are 543, 977, 48, 647
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 543
List of positive integer divisors of 543 that divides 543 without a remainder.
1, 3, 181, 543
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
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 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Greatest Common Divisior
We found the divisors of 543, 977, 48, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 543, 977, 48, 647 is 1.
Therefore, GCD of numbers 543, 977, 48, 647 is 1
Given Input Data is 543, 977, 48, 647
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 543 is 3 x 181
Prime Factorization of 977 is 977
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 647 is 647
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(543, 977) = 530511
GCD(543, 977) = ( 543 x 977 ) / 530511
GCD(543, 977) = 530511 / 530511
GCD(543, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 647) = 647
GCD(1, 647) = ( 1 x 647 ) / 647
GCD(1, 647) = 647 / 647
GCD(1, 647) = 1
GCD of 543, 977, 48, 647 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 543, 977, 48, 647?
GCD of 543, 977, 48, 647 is 1
2. Where do I get the detailed procedure to find GCD of 543, 977, 48, 647?
You can find a detailed procedure to find GCD of 543, 977, 48, 647 on our page.
3. How to find GCD of 543, 977, 48, 647 on a calculator?
You can find the GCD of 543, 977, 48, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.