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 642, 625, 65, 491 i.e. 1 largest integer that divides all the numbers equally.
GCD of 642, 625, 65, 491 is 1
GCD(642, 625, 65, 491) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 625, 65, 491 is 1
GCD(642, 625, 65, 491) = 1
Given Input numbers are 642, 625, 65, 491
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 625
List of positive integer divisors of 625 that divides 625 without a remainder.
1, 5, 25, 125, 625
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 491
List of positive integer divisors of 491 that divides 491 without a remainder.
1, 491
Greatest Common Divisior
We found the divisors of 642, 625, 65, 491 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 625, 65, 491 is 1.
Therefore, GCD of numbers 642, 625, 65, 491 is 1
Given Input Data is 642, 625, 65, 491
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 625 is 5 x 5 x 5 x 5
Prime Factorization of 65 is 5 x 13
Prime Factorization of 491 is 491
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(642, 625) = 401250
GCD(642, 625) = ( 642 x 625 ) / 401250
GCD(642, 625) = 401250 / 401250
GCD(642, 625) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 65) = 65
GCD(1, 65) = ( 1 x 65 ) / 65
GCD(1, 65) = 65 / 65
GCD(1, 65) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 491
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 491) = 491
GCD(1, 491) = ( 1 x 491 ) / 491
GCD(1, 491) = 491 / 491
GCD(1, 491) = 1
GCD of 642, 625, 65, 491 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 625, 65, 491?
GCD of 642, 625, 65, 491 is 1
2. Where do I get the detailed procedure to find GCD of 642, 625, 65, 491?
You can find a detailed procedure to find GCD of 642, 625, 65, 491 on our page.
3. How to find GCD of 642, 625, 65, 491 on a calculator?
You can find the GCD of 642, 625, 65, 491 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.