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 468, 747, 46, 959 i.e. 1 largest integer that divides all the numbers equally.
GCD of 468, 747, 46, 959 is 1
GCD(468, 747, 46, 959) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 468, 747, 46, 959 is 1
GCD(468, 747, 46, 959) = 1
Given Input numbers are 468, 747, 46, 959
To find the GCD of numbers using factoring list out all the divisors of each number
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 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 959
List of positive integer divisors of 959 that divides 959 without a remainder.
1, 7, 137, 959
Greatest Common Divisior
We found the divisors of 468, 747, 46, 959 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 468, 747, 46, 959 is 1.
Therefore, GCD of numbers 468, 747, 46, 959 is 1
Given Input Data is 468, 747, 46, 959
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 46 is 2 x 23
Prime Factorization of 959 is 7 x 137
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(468, 747) = 38844
GCD(468, 747) = ( 468 x 747 ) / 38844
GCD(468, 747) = 349596 / 38844
GCD(468, 747) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 46) = 414
GCD(9, 46) = ( 9 x 46 ) / 414
GCD(9, 46) = 414 / 414
GCD(9, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 959
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 959) = 959
GCD(1, 959) = ( 1 x 959 ) / 959
GCD(1, 959) = 959 / 959
GCD(1, 959) = 1
GCD of 468, 747, 46, 959 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 468, 747, 46, 959?
GCD of 468, 747, 46, 959 is 1
2. Where do I get the detailed procedure to find GCD of 468, 747, 46, 959?
You can find a detailed procedure to find GCD of 468, 747, 46, 959 on our page.
3. How to find GCD of 468, 747, 46, 959 on a calculator?
You can find the GCD of 468, 747, 46, 959 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.