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 147, 143, 64, 517 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 143, 64, 517 is 1
GCD(147, 143, 64, 517) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 143, 64, 517 is 1
GCD(147, 143, 64, 517) = 1
Given Input numbers are 147, 143, 64, 517
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 517
List of positive integer divisors of 517 that divides 517 without a remainder.
1, 11, 47, 517
Greatest Common Divisior
We found the divisors of 147, 143, 64, 517 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 143, 64, 517 is 1.
Therefore, GCD of numbers 147, 143, 64, 517 is 1
Given Input Data is 147, 143, 64, 517
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 143 is 11 x 13
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 517 is 11 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(147, 143) = 21021
GCD(147, 143) = ( 147 x 143 ) / 21021
GCD(147, 143) = 21021 / 21021
GCD(147, 143) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 64) = 64
GCD(1, 64) = ( 1 x 64 ) / 64
GCD(1, 64) = 64 / 64
GCD(1, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 517
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 517) = 517
GCD(1, 517) = ( 1 x 517 ) / 517
GCD(1, 517) = 517 / 517
GCD(1, 517) = 1
GCD of 147, 143, 64, 517 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 143, 64, 517?
GCD of 147, 143, 64, 517 is 1
2. Where do I get the detailed procedure to find GCD of 147, 143, 64, 517?
You can find a detailed procedure to find GCD of 147, 143, 64, 517 on our page.
3. How to find GCD of 147, 143, 64, 517 on a calculator?
You can find the GCD of 147, 143, 64, 517 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.