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 141, 688, 466, 431 i.e. 1 largest integer that divides all the numbers equally.
GCD of 141, 688, 466, 431 is 1
GCD(141, 688, 466, 431) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 141, 688, 466, 431 is 1
GCD(141, 688, 466, 431) = 1
Given Input numbers are 141, 688, 466, 431
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 141
List of positive integer divisors of 141 that divides 141 without a remainder.
1, 3, 47, 141
Divisors of 688
List of positive integer divisors of 688 that divides 688 without a remainder.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 466
List of positive integer divisors of 466 that divides 466 without a remainder.
1, 2, 233, 466
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Greatest Common Divisior
We found the divisors of 141, 688, 466, 431 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 141, 688, 466, 431 is 1.
Therefore, GCD of numbers 141, 688, 466, 431 is 1
Given Input Data is 141, 688, 466, 431
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 141 is 3 x 47
Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43
Prime Factorization of 466 is 2 x 233
Prime Factorization of 431 is 431
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(141, 688) = 97008
GCD(141, 688) = ( 141 x 688 ) / 97008
GCD(141, 688) = 97008 / 97008
GCD(141, 688) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 466
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 466) = 466
GCD(1, 466) = ( 1 x 466 ) / 466
GCD(1, 466) = 466 / 466
GCD(1, 466) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
GCD of 141, 688, 466, 431 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 141, 688, 466, 431?
GCD of 141, 688, 466, 431 is 1
2. Where do I get the detailed procedure to find GCD of 141, 688, 466, 431?
You can find a detailed procedure to find GCD of 141, 688, 466, 431 on our page.
3. How to find GCD of 141, 688, 466, 431 on a calculator?
You can find the GCD of 141, 688, 466, 431 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.