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 96, 147, 742, 454 i.e. 1 largest integer that divides all the numbers equally.
GCD of 96, 147, 742, 454 is 1
GCD(96, 147, 742, 454) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 96, 147, 742, 454 is 1
GCD(96, 147, 742, 454) = 1
Given Input numbers are 96, 147, 742, 454
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 96
List of positive integer divisors of 96 that divides 96 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 454
List of positive integer divisors of 454 that divides 454 without a remainder.
1, 2, 227, 454
Greatest Common Divisior
We found the divisors of 96, 147, 742, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 96, 147, 742, 454 is 1.
Therefore, GCD of numbers 96, 147, 742, 454 is 1
Given Input Data is 96, 147, 742, 454
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 454 is 2 x 227
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(96, 147) = 4704
GCD(96, 147) = ( 96 x 147 ) / 4704
GCD(96, 147) = 14112 / 4704
GCD(96, 147) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 742) = 2226
GCD(3, 742) = ( 3 x 742 ) / 2226
GCD(3, 742) = 2226 / 2226
GCD(3, 742) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 454
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 454) = 454
GCD(1, 454) = ( 1 x 454 ) / 454
GCD(1, 454) = 454 / 454
GCD(1, 454) = 1
GCD of 96, 147, 742, 454 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 96, 147, 742, 454?
GCD of 96, 147, 742, 454 is 1
2. Where do I get the detailed procedure to find GCD of 96, 147, 742, 454?
You can find a detailed procedure to find GCD of 96, 147, 742, 454 on our page.
3. How to find GCD of 96, 147, 742, 454 on a calculator?
You can find the GCD of 96, 147, 742, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.