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, 162, 72, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 547, 162, 72, 948 is 1
GCD(547, 162, 72, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 547, 162, 72, 948 is 1
GCD(547, 162, 72, 948) = 1
Given Input numbers are 547, 162, 72, 948
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 162
List of positive integer divisors of 162 that divides 162 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Greatest Common Divisior
We found the divisors of 547, 162, 72, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 547, 162, 72, 948 is 1.
Therefore, GCD of numbers 547, 162, 72, 948 is 1
Given Input Data is 547, 162, 72, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 547 is 547
Prime Factorization of 162 is 2 x 3 x 3 x 3 x 3
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 948 is 2 x 2 x 3 x 79
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, 162) = 88614
GCD(547, 162) = ( 547 x 162 ) / 88614
GCD(547, 162) = 88614 / 88614
GCD(547, 162) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 948
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 948) = 948
GCD(1, 948) = ( 1 x 948 ) / 948
GCD(1, 948) = 948 / 948
GCD(1, 948) = 1
GCD of 547, 162, 72, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 547, 162, 72, 948?
GCD of 547, 162, 72, 948 is 1
2. Where do I get the detailed procedure to find GCD of 547, 162, 72, 948?
You can find a detailed procedure to find GCD of 547, 162, 72, 948 on our page.
3. How to find GCD of 547, 162, 72, 948 on a calculator?
You can find the GCD of 547, 162, 72, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.