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 74, 953, 468, 847 i.e. 1 largest integer that divides all the numbers equally.
GCD of 74, 953, 468, 847 is 1
GCD(74, 953, 468, 847) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 74, 953, 468, 847 is 1
GCD(74, 953, 468, 847) = 1
Given Input numbers are 74, 953, 468, 847
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 74
List of positive integer divisors of 74 that divides 74 without a remainder.
1, 2, 37, 74
Divisors of 953
List of positive integer divisors of 953 that divides 953 without a remainder.
1, 953
Divisors of 468
List of positive integer divisors of 468 that divides 468 without a remainder.
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Greatest Common Divisior
We found the divisors of 74, 953, 468, 847 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 953, 468, 847 is 1.
Therefore, GCD of numbers 74, 953, 468, 847 is 1
Given Input Data is 74, 953, 468, 847
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 74 is 2 x 37
Prime Factorization of 953 is 953
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 847 is 7 x 11 x 11
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(74, 953) = 70522
GCD(74, 953) = ( 74 x 953 ) / 70522
GCD(74, 953) = 70522 / 70522
GCD(74, 953) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 468
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 468) = 468
GCD(1, 468) = ( 1 x 468 ) / 468
GCD(1, 468) = 468 / 468
GCD(1, 468) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 847
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 847) = 847
GCD(1, 847) = ( 1 x 847 ) / 847
GCD(1, 847) = 847 / 847
GCD(1, 847) = 1
GCD of 74, 953, 468, 847 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 74, 953, 468, 847?
GCD of 74, 953, 468, 847 is 1
2. Where do I get the detailed procedure to find GCD of 74, 953, 468, 847?
You can find a detailed procedure to find GCD of 74, 953, 468, 847 on our page.
3. How to find GCD of 74, 953, 468, 847 on a calculator?
You can find the GCD of 74, 953, 468, 847 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.