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 463, 751, 498, 141 i.e. 1 largest integer that divides all the numbers equally.
GCD of 463, 751, 498, 141 is 1
GCD(463, 751, 498, 141) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 463, 751, 498, 141 is 1
GCD(463, 751, 498, 141) = 1
Given Input numbers are 463, 751, 498, 141
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 463
List of positive integer divisors of 463 that divides 463 without a remainder.
1, 463
Divisors of 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Divisors of 498
List of positive integer divisors of 498 that divides 498 without a remainder.
1, 2, 3, 6, 83, 166, 249, 498
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Greatest Common Divisior
We found the divisors of 463, 751, 498, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 463, 751, 498, 141 is 1.
Therefore, GCD of numbers 463, 751, 498, 141 is 1
Given Input Data is 463, 751, 498, 141
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 463 is 463
Prime Factorization of 751 is 751
Prime Factorization of 498 is 2 x 3 x 83
Prime Factorization of 141 is 3 x 47
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(463, 751) = 347713
GCD(463, 751) = ( 463 x 751 ) / 347713
GCD(463, 751) = 347713 / 347713
GCD(463, 751) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 498
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 498) = 498
GCD(1, 498) = ( 1 x 498 ) / 498
GCD(1, 498) = 498 / 498
GCD(1, 498) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 141
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 141) = 141
GCD(1, 141) = ( 1 x 141 ) / 141
GCD(1, 141) = 141 / 141
GCD(1, 141) = 1
GCD of 463, 751, 498, 141 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 463, 751, 498, 141?
GCD of 463, 751, 498, 141 is 1
2. Where do I get the detailed procedure to find GCD of 463, 751, 498, 141?
You can find a detailed procedure to find GCD of 463, 751, 498, 141 on our page.
3. How to find GCD of 463, 751, 498, 141 on a calculator?
You can find the GCD of 463, 751, 498, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.