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 457, 716, 467, 948 i.e. 1 largest integer that divides all the numbers equally.
GCD of 457, 716, 467, 948 is 1
GCD(457, 716, 467, 948) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 457, 716, 467, 948 is 1
GCD(457, 716, 467, 948) = 1
Given Input numbers are 457, 716, 467, 948
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 457
List of positive integer divisors of 457 that divides 457 without a remainder.
1, 457
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
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 457, 716, 467, 948 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 457, 716, 467, 948 is 1.
Therefore, GCD of numbers 457, 716, 467, 948 is 1
Given Input Data is 457, 716, 467, 948
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 457 is 457
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 467 is 467
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(457, 716) = 327212
GCD(457, 716) = ( 457 x 716 ) / 327212
GCD(457, 716) = 327212 / 327212
GCD(457, 716) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 467) = 467
GCD(1, 467) = ( 1 x 467 ) / 467
GCD(1, 467) = 467 / 467
GCD(1, 467) = 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 457, 716, 467, 948 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 457, 716, 467, 948?
GCD of 457, 716, 467, 948 is 1
2. Where do I get the detailed procedure to find GCD of 457, 716, 467, 948?
You can find a detailed procedure to find GCD of 457, 716, 467, 948 on our page.
3. How to find GCD of 457, 716, 467, 948 on a calculator?
You can find the GCD of 457, 716, 467, 948 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.